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Finding the Third Proportional to 119,763.28 and 260,789.06

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Solution

The third proportional to 119,763.28 and 260,789.06 is: 567,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,763.28 : 260,789.06 = 260,789.06 : x
  2. Step 2: Convert to fraction form
    119,763.28/260,789.06 = 260,789.06/x
  3. Step 3: Cross multiply
    119,763.28x = 260,789.06 × 260,789.06
  4. Step 4: Simplify right side
    119,763.28x = 68,010,935,119.63
  5. Step 5: Solve for x
    x = 68,010,935,119.63/119,763.28
  6. Step 6: Final answer
    x = 567,878.02

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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.