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Finding the Third Proportional to 158,414 and 230,487

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Solution

The third proportional to 158,414 and 230,487 is: 335,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,414 : 230,487 = 230,487 : x
  2. Step 2: Convert to fraction form
    158,414/230,487 = 230,487/x
  3. Step 3: Cross multiply
    158,414x = 230,487 × 230,487
  4. Step 4: Simplify right side
    158,414x = 53,124,257,169
  5. Step 5: Solve for x
    x = 53,124,257,169/158,414
  6. Step 6: Final answer
    x = 335,350.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.