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Finding the Third Proportional to 165,610 and 359,228

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Solution

The third proportional to 165,610 and 359,228 is: 779,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,610 : 359,228 = 359,228 : x
  2. Step 2: Convert to fraction form
    165,610/359,228 = 359,228/x
  3. Step 3: Cross multiply
    165,610x = 359,228 × 359,228
  4. Step 4: Simplify right side
    165,610x = 129,044,755,984
  5. Step 5: Solve for x
    x = 129,044,755,984/165,610
  6. Step 6: Final answer
    x = 779,208.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.