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Finding the Third Proportional to 136,461 and 296,116

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Solution

The third proportional to 136,461 and 296,116 is: 642,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461 : 296,116 = 296,116 : x
  2. Step 2: Convert to fraction form
    136,461/296,116 = 296,116/x
  3. Step 3: Cross multiply
    136,461x = 296,116 × 296,116
  4. Step 4: Simplify right side
    136,461x = 87,684,685,456
  5. Step 5: Solve for x
    x = 87,684,685,456/136,461
  6. Step 6: Final answer
    x = 642,562.24

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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.