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Finding the Third Proportional to 152,539.50 and 230,781

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Solution

The third proportional to 152,539.50 and 230,781 is: 349,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,539.50 : 230,781 = 230,781 : x
  2. Step 2: Convert to fraction form
    152,539.50/230,781 = 230,781/x
  3. Step 3: Cross multiply
    152,539.50x = 230,781 × 230,781
  4. Step 4: Simplify right side
    152,539.50x = 53,259,869,961
  5. Step 5: Solve for x
    x = 53,259,869,961/152,539.50
  6. Step 6: Final answer
    x = 349,154.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.