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Finding the Third Proportional to 139,828 and 221,514

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Solution

The third proportional to 139,828 and 221,514 is: 350,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,828 : 221,514 = 221,514 : x
  2. Step 2: Convert to fraction form
    139,828/221,514 = 221,514/x
  3. Step 3: Cross multiply
    139,828x = 221,514 × 221,514
  4. Step 4: Simplify right side
    139,828x = 49,068,452,196
  5. Step 5: Solve for x
    x = 49,068,452,196/139,828
  6. Step 6: Final answer
    x = 350,920.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.