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Finding the Third Proportional to 165,672 and 359,343

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Solution

The third proportional to 165,672 and 359,343 is: 779,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672 : 359,343 = 359,343 : x
  2. Step 2: Convert to fraction form
    165,672/359,343 = 359,343/x
  3. Step 3: Cross multiply
    165,672x = 359,343 × 359,343
  4. Step 4: Simplify right side
    165,672x = 129,127,391,649
  5. Step 5: Solve for x
    x = 129,127,391,649/165,672
  6. Step 6: Final answer
    x = 779,415.90

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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.