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Finding the Third Proportional to 119,466 and 260,316

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Solution

The third proportional to 119,466 and 260,316 is: 567,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,466 : 260,316 = 260,316 : x
  2. Step 2: Convert to fraction form
    119,466/260,316 = 260,316/x
  3. Step 3: Cross multiply
    119,466x = 260,316 × 260,316
  4. Step 4: Simplify right side
    119,466x = 67,764,419,856
  5. Step 5: Solve for x
    x = 67,764,419,856/119,466
  6. Step 6: Final answer
    x = 567,227.66

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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.