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Finding the Third Proportional to 131,170.50 and 282,411

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Solution

The third proportional to 131,170.50 and 282,411 is: 608,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,170.50 : 282,411 = 282,411 : x
  2. Step 2: Convert to fraction form
    131,170.50/282,411 = 282,411/x
  3. Step 3: Cross multiply
    131,170.50x = 282,411 × 282,411
  4. Step 4: Simplify right side
    131,170.50x = 79,755,972,921
  5. Step 5: Solve for x
    x = 79,755,972,921/131,170.50
  6. Step 6: Final answer
    x = 608,032.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.