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Finding the Third Proportional to 157,049 and 344,004

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Solution

The third proportional to 157,049 and 344,004 is: 753,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,049 : 344,004 = 344,004 : x
  2. Step 2: Convert to fraction form
    157,049/344,004 = 344,004/x
  3. Step 3: Cross multiply
    157,049x = 344,004 × 344,004
  4. Step 4: Simplify right side
    157,049x = 118,338,752,016
  5. Step 5: Solve for x
    x = 118,338,752,016/157,049
  6. Step 6: Final answer
    x = 753,514.84

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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.