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Finding the Third Proportional to 134,357 and 292,906

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Solution

The third proportional to 134,357 and 292,906 is: 638,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,357 : 292,906 = 292,906 : x
  2. Step 2: Convert to fraction form
    134,357/292,906 = 292,906/x
  3. Step 3: Cross multiply
    134,357x = 292,906 × 292,906
  4. Step 4: Simplify right side
    134,357x = 85,793,924,836
  5. Step 5: Solve for x
    x = 85,793,924,836/134,357
  6. Step 6: Final answer
    x = 638,551.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.