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Finding the Third Proportional to 131,253.10 and 286,264.20

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Solution

The third proportional to 131,253.10 and 286,264.20 is: 624,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,253.10 : 286,264.20 = 286,264.20 : x
  2. Step 2: Convert to fraction form
    131,253.10/286,264.20 = 286,264.20/x
  3. Step 3: Cross multiply
    131,253.10x = 286,264.20 × 286,264.20
  4. Step 4: Simplify right side
    131,253.10x = 81,947,194,549.91
  5. Step 5: Solve for x
    x = 81,947,194,549.91/131,253.10
  6. Step 6: Final answer
    x = 624,344.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.