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Finding the Third Proportional to 152,544 and 230,787

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Solution

The third proportional to 152,544 and 230,787 is: 349,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,544 : 230,787 = 230,787 : x
  2. Step 2: Convert to fraction form
    152,544/230,787 = 230,787/x
  3. Step 3: Cross multiply
    152,544x = 230,787 × 230,787
  4. Step 4: Simplify right side
    152,544x = 53,262,639,369
  5. Step 5: Solve for x
    x = 53,262,639,369/152,544
  6. Step 6: Final answer
    x = 349,162.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.