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Finding the Third Proportional to 156,822 and 235,587

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Solution

The third proportional to 156,822 and 235,587 is: 353,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,822 : 235,587 = 235,587 : x
  2. Step 2: Convert to fraction form
    156,822/235,587 = 235,587/x
  3. Step 3: Cross multiply
    156,822x = 235,587 × 235,587
  4. Step 4: Simplify right side
    156,822x = 55,501,234,569
  5. Step 5: Solve for x
    x = 55,501,234,569/156,822
  6. Step 6: Final answer
    x = 353,912.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.