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Finding the Third Proportional to 136,366 and 291,684

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Solution

The third proportional to 136,366 and 291,684 is: 623,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,366 : 291,684 = 291,684 : x
  2. Step 2: Convert to fraction form
    136,366/291,684 = 291,684/x
  3. Step 3: Cross multiply
    136,366x = 291,684 × 291,684
  4. Step 4: Simplify right side
    136,366x = 85,079,555,856
  5. Step 5: Solve for x
    x = 85,079,555,856/136,366
  6. Step 6: Final answer
    x = 623,905.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.