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Finding the Third Proportional to 119,348 and 260,000

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Solution

The third proportional to 119,348 and 260,000 is: 566,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,348 : 260,000 = 260,000 : x
  2. Step 2: Convert to fraction form
    119,348/260,000 = 260,000/x
  3. Step 3: Cross multiply
    119,348x = 260,000 × 260,000
  4. Step 4: Simplify right side
    119,348x = 67,600,000,000
  5. Step 5: Solve for x
    x = 67,600,000,000/119,348
  6. Step 6: Final answer
    x = 566,410.83

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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.