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Finding the Third Proportional to 134,216 and 292,414

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Solution

The third proportional to 134,216 and 292,414 is: 637,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,216 : 292,414 = 292,414 : x
  2. Step 2: Convert to fraction form
    134,216/292,414 = 292,414/x
  3. Step 3: Cross multiply
    134,216x = 292,414 × 292,414
  4. Step 4: Simplify right side
    134,216x = 85,505,947,396
  5. Step 5: Solve for x
    x = 85,505,947,396/134,216
  6. Step 6: Final answer
    x = 637,077.15

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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.