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Finding the Third Proportional to 134,571 and 292,038

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Solution

The third proportional to 134,571 and 292,038 is: 633,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,571 : 292,038 = 292,038 : x
  2. Step 2: Convert to fraction form
    134,571/292,038 = 292,038/x
  3. Step 3: Cross multiply
    134,571x = 292,038 × 292,038
  4. Step 4: Simplify right side
    134,571x = 85,286,193,444
  5. Step 5: Solve for x
    x = 85,286,193,444/134,571
  6. Step 6: Final answer
    x = 633,763.54

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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.