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Finding the Third Proportional to 134,272 and 292,510

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Solution

The third proportional to 134,272 and 292,510 is: 637,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,272 : 292,510 = 292,510 : x
  2. Step 2: Convert to fraction form
    134,272/292,510 = 292,510/x
  3. Step 3: Cross multiply
    134,272x = 292,510 × 292,510
  4. Step 4: Simplify right side
    134,272x = 85,562,100,100
  5. Step 5: Solve for x
    x = 85,562,100,100/134,272
  6. Step 6: Final answer
    x = 637,229.65

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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.