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Finding the Third Proportional to 115,024 and 244,952

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Solution

The third proportional to 115,024 and 244,952 is: 521,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,024 : 244,952 = 244,952 : x
  2. Step 2: Convert to fraction form
    115,024/244,952 = 244,952/x
  3. Step 3: Cross multiply
    115,024x = 244,952 × 244,952
  4. Step 4: Simplify right side
    115,024x = 60,001,482,304
  5. Step 5: Solve for x
    x = 60,001,482,304/115,024
  6. Step 6: Final answer
    x = 521,643.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.