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Finding the Third Proportional to 165,627 and 359,262

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Solution

The third proportional to 165,627 and 359,262 is: 779,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,627 : 359,262 = 359,262 : x
  2. Step 2: Convert to fraction form
    165,627/359,262 = 359,262/x
  3. Step 3: Cross multiply
    165,627x = 359,262 × 359,262
  4. Step 4: Simplify right side
    165,627x = 129,069,184,644
  5. Step 5: Solve for x
    x = 129,069,184,644/165,627
  6. Step 6: Final answer
    x = 779,276.23

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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.