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Finding the Third Proportional to 119,416 and 260,272

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Solution

The third proportional to 119,416 and 260,272 is: 567,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416 : 260,272 = 260,272 : x
  2. Step 2: Convert to fraction form
    119,416/260,272 = 260,272/x
  3. Step 3: Cross multiply
    119,416x = 260,272 × 260,272
  4. Step 4: Simplify right side
    119,416x = 67,741,513,984
  5. Step 5: Solve for x
    x = 67,741,513,984/119,416
  6. Step 6: Final answer
    x = 567,273.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.