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Finding the Third Proportional to 169,712 and 251,629

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Solution

The third proportional to 169,712 and 251,629 is: 373,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,712 : 251,629 = 251,629 : x
  2. Step 2: Convert to fraction form
    169,712/251,629 = 251,629/x
  3. Step 3: Cross multiply
    169,712x = 251,629 × 251,629
  4. Step 4: Simplify right side
    169,712x = 63,317,153,641
  5. Step 5: Solve for x
    x = 63,317,153,641/169,712
  6. Step 6: Final answer
    x = 373,085.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.