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Finding the Third Proportional to 142,635 and 220,864.50

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Solution

The third proportional to 142,635 and 220,864.50 is: 341,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,635 : 220,864.50 = 220,864.50 : x
  2. Step 2: Convert to fraction form
    142,635/220,864.50 = 220,864.50/x
  3. Step 3: Cross multiply
    142,635x = 220,864.50 × 220,864.50
  4. Step 4: Simplify right side
    142,635x = 48,781,127,360.25
  5. Step 5: Solve for x
    x = 48,781,127,360.25/142,635
  6. Step 6: Final answer
    x = 341,999.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.