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Finding the Third Proportional to 156,948 and 345,567

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Solution

The third proportional to 156,948 and 345,567 is: 760,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 345,567 = 345,567 : x
  2. Step 2: Convert to fraction form
    156,948/345,567 = 345,567/x
  3. Step 3: Cross multiply
    156,948x = 345,567 × 345,567
  4. Step 4: Simplify right side
    156,948x = 119,416,551,489
  5. Step 5: Solve for x
    x = 119,416,551,489/156,948
  6. Step 6: Final answer
    x = 760,866.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.