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Finding the Third Proportional to 134,532 and 292,392

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Solution

The third proportional to 134,532 and 292,392 is: 635,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,532 : 292,392 = 292,392 : x
  2. Step 2: Convert to fraction form
    134,532/292,392 = 292,392/x
  3. Step 3: Cross multiply
    134,532x = 292,392 × 292,392
  4. Step 4: Simplify right side
    134,532x = 85,493,081,664
  5. Step 5: Solve for x
    x = 85,493,081,664/134,532
  6. Step 6: Final answer
    x = 635,485.10

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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.