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Finding the Third Proportional to 119,454 and 260,772

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Solution

The third proportional to 119,454 and 260,772 is: 569,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,454 : 260,772 = 260,772 : x
  2. Step 2: Convert to fraction form
    119,454/260,772 = 260,772/x
  3. Step 3: Cross multiply
    119,454x = 260,772 × 260,772
  4. Step 4: Simplify right side
    119,454x = 68,002,035,984
  5. Step 5: Solve for x
    x = 68,002,035,984/119,454
  6. Step 6: Final answer
    x = 569,273.83

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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.