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Finding the Third Proportional to 134,920 and 292,194

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Solution

The third proportional to 134,920 and 292,194 is: 632,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,920 : 292,194 = 292,194 : x
  2. Step 2: Convert to fraction form
    134,920/292,194 = 292,194/x
  3. Step 3: Cross multiply
    134,920x = 292,194 × 292,194
  4. Step 4: Simplify right side
    134,920x = 85,377,333,636
  5. Step 5: Solve for x
    x = 85,377,333,636/134,920
  6. Step 6: Final answer
    x = 632,799.69

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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.