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Finding the Third Proportional to 296,098 and 442,173

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Solution

The third proportional to 296,098 and 442,173 is: 660,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,098 : 442,173 = 442,173 : x
  2. Step 2: Convert to fraction form
    296,098/442,173 = 442,173/x
  3. Step 3: Cross multiply
    296,098x = 442,173 × 442,173
  4. Step 4: Simplify right side
    296,098x = 195,516,961,929
  5. Step 5: Solve for x
    x = 195,516,961,929/296,098
  6. Step 6: Final answer
    x = 660,311.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.