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Finding the Third Proportional to 118,466 and 259,074

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Solution

The third proportional to 118,466 and 259,074 is: 566,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,466 : 259,074 = 259,074 : x
  2. Step 2: Convert to fraction form
    118,466/259,074 = 259,074/x
  3. Step 3: Cross multiply
    118,466x = 259,074 × 259,074
  4. Step 4: Simplify right side
    118,466x = 67,119,337,476
  5. Step 5: Solve for x
    x = 67,119,337,476/118,466
  6. Step 6: Final answer
    x = 566,570.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.