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Finding the Third Proportional to 119,487 and 260,713

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Solution

The third proportional to 119,487 and 260,713 is: 568,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,487 : 260,713 = 260,713 : x
  2. Step 2: Convert to fraction form
    119,487/260,713 = 260,713/x
  3. Step 3: Cross multiply
    119,487x = 260,713 × 260,713
  4. Step 4: Simplify right side
    119,487x = 67,971,268,369
  5. Step 5: Solve for x
    x = 67,971,268,369/119,487
  6. Step 6: Final answer
    x = 568,859.11

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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.