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Finding the Third Proportional to 164,780 and 354,402

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Solution

The third proportional to 164,780 and 354,402 is: 762,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,780 : 354,402 = 354,402 : x
  2. Step 2: Convert to fraction form
    164,780/354,402 = 354,402/x
  3. Step 3: Cross multiply
    164,780x = 354,402 × 354,402
  4. Step 4: Simplify right side
    164,780x = 125,600,777,604
  5. Step 5: Solve for x
    x = 125,600,777,604/164,780
  6. Step 6: Final answer
    x = 762,233.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.