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Finding the Third Proportional to 139,416 and 305,514

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Solution

The third proportional to 139,416 and 305,514 is: 669,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,416 : 305,514 = 305,514 : x
  2. Step 2: Convert to fraction form
    139,416/305,514 = 305,514/x
  3. Step 3: Cross multiply
    139,416x = 305,514 × 305,514
  4. Step 4: Simplify right side
    139,416x = 93,338,804,196
  5. Step 5: Solve for x
    x = 93,338,804,196/139,416
  6. Step 6: Final answer
    x = 669,498.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.