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Finding the Third Proportional to 156,946 and 235,769

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Solution

The third proportional to 156,946 and 235,769 is: 354,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 235,769 = 235,769 : x
  2. Step 2: Convert to fraction form
    156,946/235,769 = 235,769/x
  3. Step 3: Cross multiply
    156,946x = 235,769 × 235,769
  4. Step 4: Simplify right side
    156,946x = 55,587,021,361
  5. Step 5: Solve for x
    x = 55,587,021,361/156,946
  6. Step 6: Final answer
    x = 354,179.28

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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.