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Finding the Third Proportional to 169,330 and 361,988

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Solution

The third proportional to 169,330 and 361,988 is: 773,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,330 : 361,988 = 361,988 : x
  2. Step 2: Convert to fraction form
    169,330/361,988 = 361,988/x
  3. Step 3: Cross multiply
    169,330x = 361,988 × 361,988
  4. Step 4: Simplify right side
    169,330x = 131,035,312,144
  5. Step 5: Solve for x
    x = 131,035,312,144/169,330
  6. Step 6: Final answer
    x = 773,845.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.