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Finding the Third Proportional to 134,211 and 292,538

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Solution

The third proportional to 134,211 and 292,538 is: 637,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,211 : 292,538 = 292,538 : x
  2. Step 2: Convert to fraction form
    134,211/292,538 = 292,538/x
  3. Step 3: Cross multiply
    134,211x = 292,538 × 292,538
  4. Step 4: Simplify right side
    134,211x = 85,578,481,444
  5. Step 5: Solve for x
    x = 85,578,481,444/134,211
  6. Step 6: Final answer
    x = 637,641.34

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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.