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Finding the Third Proportional to 165,853 and 357,733

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Solution

The third proportional to 165,853 and 357,733 is: 771,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,853 : 357,733 = 357,733 : x
  2. Step 2: Convert to fraction form
    165,853/357,733 = 357,733/x
  3. Step 3: Cross multiply
    165,853x = 357,733 × 357,733
  4. Step 4: Simplify right side
    165,853x = 127,972,899,289
  5. Step 5: Solve for x
    x = 127,972,899,289/165,853
  6. Step 6: Final answer
    x = 771,604.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.