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Finding the Third Proportional to 282,730.50 and 371,607.75

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Solution

The third proportional to 282,730.50 and 371,607.75 is: 488,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,730.50 : 371,607.75 = 371,607.75 : x
  2. Step 2: Convert to fraction form
    282,730.50/371,607.75 = 371,607.75/x
  3. Step 3: Cross multiply
    282,730.50x = 371,607.75 × 371,607.75
  4. Step 4: Simplify right side
    282,730.50x = 138,092,319,860.06
  5. Step 5: Solve for x
    x = 138,092,319,860.06/282,730.50
  6. Step 6: Final answer
    x = 488,423.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.