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Finding the Third Proportional to 245,713.50 and 370,301.25

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Solution

The third proportional to 245,713.50 and 370,301.25 is: 558,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,713.50 : 370,301.25 = 370,301.25 : x
  2. Step 2: Convert to fraction form
    245,713.50/370,301.25 = 370,301.25/x
  3. Step 3: Cross multiply
    245,713.50x = 370,301.25 × 370,301.25
  4. Step 4: Simplify right side
    245,713.50x = 137,123,015,751.56
  5. Step 5: Solve for x
    x = 137,123,015,751.56/245,713.50
  6. Step 6: Final answer
    x = 558,060.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.