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Finding the Third Proportional to 142,471.13 and 304,009.88

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Solution

The third proportional to 142,471.13 and 304,009.88 is: 648,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,471.13 : 304,009.88 = 304,009.88 : x
  2. Step 2: Convert to fraction form
    142,471.13/304,009.88 = 304,009.88/x
  3. Step 3: Cross multiply
    142,471.13x = 304,009.88 × 304,009.88
  4. Step 4: Simplify right side
    142,471.13x = 92,422,004,097.52
  5. Step 5: Solve for x
    x = 92,422,004,097.52/142,471.13
  6. Step 6: Final answer
    x = 648,706.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.