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Finding the Third Proportional to 239,781 and 358,024.50

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Solution

The third proportional to 239,781 and 358,024.50 is: 534,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,781 : 358,024.50 = 358,024.50 : x
  2. Step 2: Convert to fraction form
    239,781/358,024.50 = 358,024.50/x
  3. Step 3: Cross multiply
    239,781x = 358,024.50 × 358,024.50
  4. Step 4: Simplify right side
    239,781x = 128,181,542,600.25
  5. Step 5: Solve for x
    x = 128,181,542,600.25/239,781
  6. Step 6: Final answer
    x = 534,577.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.