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Finding the Third Proportional to 240,772.50 and 360,406.13

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Solution

The third proportional to 240,772.50 and 360,406.13 is: 539,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,772.50 : 360,406.13 = 360,406.13 : x
  2. Step 2: Convert to fraction form
    240,772.50/360,406.13 = 360,406.13/x
  3. Step 3: Cross multiply
    240,772.50x = 360,406.13 × 360,406.13
  4. Step 4: Simplify right side
    240,772.50x = 129,892,574,937.52
  5. Step 5: Solve for x
    x = 129,892,574,937.52/240,772.50
  6. Step 6: Final answer
    x = 539,482.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.