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Finding the Third Proportional to 125,634 and 290,613

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Solution

The third proportional to 125,634 and 290,613 is: 672,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,634 : 290,613 = 290,613 : x
  2. Step 2: Convert to fraction form
    125,634/290,613 = 290,613/x
  3. Step 3: Cross multiply
    125,634x = 290,613 × 290,613
  4. Step 4: Simplify right side
    125,634x = 84,455,915,769
  5. Step 5: Solve for x
    x = 84,455,915,769/125,634
  6. Step 6: Final answer
    x = 672,237.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.