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Finding the Third Proportional to 245,706.75 and 370,290.75

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Solution

The third proportional to 245,706.75 and 370,290.75 is: 558,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,706.75 : 370,290.75 = 370,290.75 : x
  2. Step 2: Convert to fraction form
    245,706.75/370,290.75 = 370,290.75/x
  3. Step 3: Cross multiply
    245,706.75x = 370,290.75 × 370,290.75
  4. Step 4: Simplify right side
    245,706.75x = 137,115,239,535.56
  5. Step 5: Solve for x
    x = 137,115,239,535.56/245,706.75
  6. Step 6: Final answer
    x = 558,044.25

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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.