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Finding the Third Proportional to 169,998 and 255,402

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Solution

The third proportional to 169,998 and 255,402 is: 383,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,998 : 255,402 = 255,402 : x
  2. Step 2: Convert to fraction form
    169,998/255,402 = 255,402/x
  3. Step 3: Cross multiply
    169,998x = 255,402 × 255,402
  4. Step 4: Simplify right side
    169,998x = 65,230,181,604
  5. Step 5: Solve for x
    x = 65,230,181,604/169,998
  6. Step 6: Final answer
    x = 383,711.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.