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Finding the Third Proportional to 147,627 and 320,262

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Solution

The third proportional to 147,627 and 320,262 is: 694,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,627 : 320,262 = 320,262 : x
  2. Step 2: Convert to fraction form
    147,627/320,262 = 320,262/x
  3. Step 3: Cross multiply
    147,627x = 320,262 × 320,262
  4. Step 4: Simplify right side
    147,627x = 102,567,748,644
  5. Step 5: Solve for x
    x = 102,567,748,644/147,627
  6. Step 6: Final answer
    x = 694,776.35

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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.