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Finding the Third Proportional to 169,829 and 359,887

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Solution

The third proportional to 169,829 and 359,887 is: 762,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,829 : 359,887 = 359,887 : x
  2. Step 2: Convert to fraction form
    169,829/359,887 = 359,887/x
  3. Step 3: Cross multiply
    169,829x = 359,887 × 359,887
  4. Step 4: Simplify right side
    169,829x = 129,518,652,769
  5. Step 5: Solve for x
    x = 129,518,652,769/169,829
  6. Step 6: Final answer
    x = 762,641.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.