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Finding the Third Proportional to 120,023 and 258,514

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Solution

The third proportional to 120,023 and 258,514 is: 556,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,023 : 258,514 = 258,514 : x
  2. Step 2: Convert to fraction form
    120,023/258,514 = 258,514/x
  3. Step 3: Cross multiply
    120,023x = 258,514 × 258,514
  4. Step 4: Simplify right side
    120,023x = 66,829,488,196
  5. Step 5: Solve for x
    x = 66,829,488,196/120,023
  6. Step 6: Final answer
    x = 556,805.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.