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Finding the Third Proportional to 149,548 and 229,864

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Solution

The third proportional to 149,548 and 229,864 is: 353,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,548 : 229,864 = 229,864 : x
  2. Step 2: Convert to fraction form
    149,548/229,864 = 229,864/x
  3. Step 3: Cross multiply
    149,548x = 229,864 × 229,864
  4. Step 4: Simplify right side
    149,548x = 52,837,458,496
  5. Step 5: Solve for x
    x = 52,837,458,496/149,548
  6. Step 6: Final answer
    x = 353,314.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.