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Finding the Third Proportional to 131,275.69 and 287,965.13

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Solution

The third proportional to 131,275.69 and 287,965.13 is: 631,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,275.69 : 287,965.13 = 287,965.13 : x
  2. Step 2: Convert to fraction form
    131,275.69/287,965.13 = 287,965.13/x
  3. Step 3: Cross multiply
    131,275.69x = 287,965.13 × 287,965.13
  4. Step 4: Simplify right side
    131,275.69x = 82,923,913,216.27
  5. Step 5: Solve for x
    x = 82,923,913,216.27/131,275.69
  6. Step 6: Final answer
    x = 631,677.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.