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Finding the Third Proportional to 153,416 and 244,218

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Solution

The third proportional to 153,416 and 244,218 is: 388,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,416 : 244,218 = 244,218 : x
  2. Step 2: Convert to fraction form
    153,416/244,218 = 244,218/x
  3. Step 3: Cross multiply
    153,416x = 244,218 × 244,218
  4. Step 4: Simplify right side
    153,416x = 59,642,431,524
  5. Step 5: Solve for x
    x = 59,642,431,524/153,416
  6. Step 6: Final answer
    x = 388,762.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.