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Finding the Third Proportional to 131,179.50 and 202,566

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Solution

The third proportional to 131,179.50 and 202,566 is: 312,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,179.50 : 202,566 = 202,566 : x
  2. Step 2: Convert to fraction form
    131,179.50/202,566 = 202,566/x
  3. Step 3: Cross multiply
    131,179.50x = 202,566 × 202,566
  4. Step 4: Simplify right side
    131,179.50x = 41,032,984,356
  5. Step 5: Solve for x
    x = 41,032,984,356/131,179.50
  6. Step 6: Final answer
    x = 312,800.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.