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Finding the Third Proportional to 182,755 and 286,753.50

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Solution

The third proportional to 182,755 and 286,753.50 is: 449,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,755 : 286,753.50 = 286,753.50 : x
  2. Step 2: Convert to fraction form
    182,755/286,753.50 = 286,753.50/x
  3. Step 3: Cross multiply
    182,755x = 286,753.50 × 286,753.50
  4. Step 4: Simplify right side
    182,755x = 82,227,569,762.25
  5. Step 5: Solve for x
    x = 82,227,569,762.25/182,755
  6. Step 6: Final answer
    x = 449,933.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.