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Finding the Third Proportional to 126,894 and 282,158

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Solution

The third proportional to 126,894 and 282,158 is: 627,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,894 : 282,158 = 282,158 : x
  2. Step 2: Convert to fraction form
    126,894/282,158 = 282,158/x
  3. Step 3: Cross multiply
    126,894x = 282,158 × 282,158
  4. Step 4: Simplify right side
    126,894x = 79,613,136,964
  5. Step 5: Solve for x
    x = 79,613,136,964/126,894
  6. Step 6: Final answer
    x = 627,398.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.