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Finding the Third Proportional to 169,854 and 353,650

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Solution

The third proportional to 169,854 and 353,650 is: 736,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,854 : 353,650 = 353,650 : x
  2. Step 2: Convert to fraction form
    169,854/353,650 = 353,650/x
  3. Step 3: Cross multiply
    169,854x = 353,650 × 353,650
  4. Step 4: Simplify right side
    169,854x = 125,068,322,500
  5. Step 5: Solve for x
    x = 125,068,322,500/169,854
  6. Step 6: Final answer
    x = 736,328.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.