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Finding the Third Proportional to 153,105 and 335,514

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Solution

The third proportional to 153,105 and 335,514 is: 735,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,105 : 335,514 = 335,514 : x
  2. Step 2: Convert to fraction form
    153,105/335,514 = 335,514/x
  3. Step 3: Cross multiply
    153,105x = 335,514 × 335,514
  4. Step 4: Simplify right side
    153,105x = 112,569,644,196
  5. Step 5: Solve for x
    x = 112,569,644,196/153,105
  6. Step 6: Final answer
    x = 735,244.73

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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.