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Finding the Third Proportional to 134,536 and 292,400

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Solution

The third proportional to 134,536 and 292,400 is: 635,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,536 : 292,400 = 292,400 : x
  2. Step 2: Convert to fraction form
    134,536/292,400 = 292,400/x
  3. Step 3: Cross multiply
    134,536x = 292,400 × 292,400
  4. Step 4: Simplify right side
    134,536x = 85,497,760,000
  5. Step 5: Solve for x
    x = 85,497,760,000/134,536
  6. Step 6: Final answer
    x = 635,500.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.