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Finding the Third Proportional to 134,113 and 292,274

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Solution

The third proportional to 134,113 and 292,274 is: 636,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,113 : 292,274 = 292,274 : x
  2. Step 2: Convert to fraction form
    134,113/292,274 = 292,274/x
  3. Step 3: Cross multiply
    134,113x = 292,274 × 292,274
  4. Step 4: Simplify right side
    134,113x = 85,424,091,076
  5. Step 5: Solve for x
    x = 85,424,091,076/134,113
  6. Step 6: Final answer
    x = 636,956.08

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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.