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Finding the Third Proportional to 195,708 and 302,402

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Solution

The third proportional to 195,708 and 302,402 is: 467,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,708 : 302,402 = 302,402 : x
  2. Step 2: Convert to fraction form
    195,708/302,402 = 302,402/x
  3. Step 3: Cross multiply
    195,708x = 302,402 × 302,402
  4. Step 4: Simplify right side
    195,708x = 91,446,969,604
  5. Step 5: Solve for x
    x = 91,446,969,604/195,708
  6. Step 6: Final answer
    x = 467,262.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.