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Finding the Third Proportional to 245,722.50 and 370,314

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Solution

The third proportional to 245,722.50 and 370,314 is: 558,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,722.50 : 370,314 = 370,314 : x
  2. Step 2: Convert to fraction form
    245,722.50/370,314 = 370,314/x
  3. Step 3: Cross multiply
    245,722.50x = 370,314 × 370,314
  4. Step 4: Simplify right side
    245,722.50x = 137,132,458,596
  5. Step 5: Solve for x
    x = 137,132,458,596/245,722.50
  6. Step 6: Final answer
    x = 558,078.56

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