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Finding the Third Proportional to 131,433.75 and 287,191.13

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Solution

The third proportional to 131,433.75 and 287,191.13 is: 627,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,433.75 : 287,191.13 = 287,191.13 : x
  2. Step 2: Convert to fraction form
    131,433.75/287,191.13 = 287,191.13/x
  3. Step 3: Cross multiply
    131,433.75x = 287,191.13 × 287,191.13
  4. Step 4: Simplify right side
    131,433.75x = 82,478,742,278.77
  5. Step 5: Solve for x
    x = 82,478,742,278.77/131,433.75
  6. Step 6: Final answer
    x = 627,530.92

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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.