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Finding the Third Proportional to 118,394 and 260,114

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Solution

The third proportional to 118,394 and 260,114 is: 571,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,394 : 260,114 = 260,114 : x
  2. Step 2: Convert to fraction form
    118,394/260,114 = 260,114/x
  3. Step 3: Cross multiply
    118,394x = 260,114 × 260,114
  4. Step 4: Simplify right side
    118,394x = 67,659,292,996
  5. Step 5: Solve for x
    x = 67,659,292,996/118,394
  6. Step 6: Final answer
    x = 571,475.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.