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Finding the Third Proportional to 118,656 and 260,646

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Solution

The third proportional to 118,656 and 260,646 is: 572,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,656 : 260,646 = 260,646 : x
  2. Step 2: Convert to fraction form
    118,656/260,646 = 260,646/x
  3. Step 3: Cross multiply
    118,656x = 260,646 × 260,646
  4. Step 4: Simplify right side
    118,656x = 67,936,337,316
  5. Step 5: Solve for x
    x = 67,936,337,316/118,656
  6. Step 6: Final answer
    x = 572,548.69

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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.