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Finding the Third Proportional to 119,000 and 261,004

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Solution

The third proportional to 119,000 and 261,004 is: 572,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,000 : 261,004 = 261,004 : x
  2. Step 2: Convert to fraction form
    119,000/261,004 = 261,004/x
  3. Step 3: Cross multiply
    119,000x = 261,004 × 261,004
  4. Step 4: Simplify right side
    119,000x = 68,123,088,016
  5. Step 5: Solve for x
    x = 68,123,088,016/119,000
  6. Step 6: Final answer
    x = 572,462.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.