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Finding the Third Proportional to 105,442 and 230,548

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Solution

The third proportional to 105,442 and 230,548 is: 504,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,442 : 230,548 = 230,548 : x
  2. Step 2: Convert to fraction form
    105,442/230,548 = 230,548/x
  3. Step 3: Cross multiply
    105,442x = 230,548 × 230,548
  4. Step 4: Simplify right side
    105,442x = 53,152,380,304
  5. Step 5: Solve for x
    x = 53,152,380,304/105,442
  6. Step 6: Final answer
    x = 504,091.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.