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Finding the Third Proportional to 136,458 and 296,226

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Solution

The third proportional to 136,458 and 296,226 is: 643,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,458 : 296,226 = 296,226 : x
  2. Step 2: Convert to fraction form
    136,458/296,226 = 296,226/x
  3. Step 3: Cross multiply
    136,458x = 296,226 × 296,226
  4. Step 4: Simplify right side
    136,458x = 87,749,843,076
  5. Step 5: Solve for x
    x = 87,749,843,076/136,458
  6. Step 6: Final answer
    x = 643,053.86

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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.