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Finding the Third Proportional to 134,094.38 and 279,214.31

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Solution

The third proportional to 134,094.38 and 279,214.31 is: 581,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,094.38 : 279,214.31 = 279,214.31 : x
  2. Step 2: Convert to fraction form
    134,094.38/279,214.31 = 279,214.31/x
  3. Step 3: Cross multiply
    134,094.38x = 279,214.31 × 279,214.31
  4. Step 4: Simplify right side
    134,094.38x = 77,960,632,304.85
  5. Step 5: Solve for x
    x = 77,960,632,304.85/134,094.38
  6. Step 6: Final answer
    x = 581,386.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.