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Finding the Third Proportional to 168,011 and 260,089

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Solution

The third proportional to 168,011 and 260,089 is: 402,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,011 : 260,089 = 260,089 : x
  2. Step 2: Convert to fraction form
    168,011/260,089 = 260,089/x
  3. Step 3: Cross multiply
    168,011x = 260,089 × 260,089
  4. Step 4: Simplify right side
    168,011x = 67,646,287,921
  5. Step 5: Solve for x
    x = 67,646,287,921/168,011
  6. Step 6: Final answer
    x = 402,630.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.