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Finding the Third Proportional to 119,352 and 260,008

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Solution

The third proportional to 119,352 and 260,008 is: 566,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,352 : 260,008 = 260,008 : x
  2. Step 2: Convert to fraction form
    119,352/260,008 = 260,008/x
  3. Step 3: Cross multiply
    119,352x = 260,008 × 260,008
  4. Step 4: Simplify right side
    119,352x = 67,604,160,064
  5. Step 5: Solve for x
    x = 67,604,160,064/119,352
  6. Step 6: Final answer
    x = 566,426.70

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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.