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Finding the Third Proportional to 242,764.31 and 367,520.06

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Solution

The third proportional to 242,764.31 and 367,520.06 is: 556,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,764.31 : 367,520.06 = 367,520.06 : x
  2. Step 2: Convert to fraction form
    242,764.31/367,520.06 = 367,520.06/x
  3. Step 3: Cross multiply
    242,764.31x = 367,520.06 × 367,520.06
  4. Step 4: Simplify right side
    242,764.31x = 135,070,996,340.00
  5. Step 5: Solve for x
    x = 135,070,996,340.00/242,764.31
  6. Step 6: Final answer
    x = 556,387.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.