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Finding the Third Proportional to 136,034 and 291,723

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Solution

The third proportional to 136,034 and 291,723 is: 625,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,034 : 291,723 = 291,723 : x
  2. Step 2: Convert to fraction form
    136,034/291,723 = 291,723/x
  3. Step 3: Cross multiply
    136,034x = 291,723 × 291,723
  4. Step 4: Simplify right side
    136,034x = 85,102,308,729
  5. Step 5: Solve for x
    x = 85,102,308,729/136,034
  6. Step 6: Final answer
    x = 625,595.87

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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.