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Finding the Third Proportional to 136,468 and 296,246

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Solution

The third proportional to 136,468 and 296,246 is: 643,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,468 : 296,246 = 296,246 : x
  2. Step 2: Convert to fraction form
    136,468/296,246 = 296,246/x
  3. Step 3: Cross multiply
    136,468x = 296,246 × 296,246
  4. Step 4: Simplify right side
    136,468x = 87,761,692,516
  5. Step 5: Solve for x
    x = 87,761,692,516/136,468
  6. Step 6: Final answer
    x = 643,093.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.