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Finding the Third Proportional to 149,496 and 230,854

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Solution

The third proportional to 149,496 and 230,854 is: 356,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,496 : 230,854 = 230,854 : x
  2. Step 2: Convert to fraction form
    149,496/230,854 = 230,854/x
  3. Step 3: Cross multiply
    149,496x = 230,854 × 230,854
  4. Step 4: Simplify right side
    149,496x = 53,293,569,316
  5. Step 5: Solve for x
    x = 53,293,569,316/149,496
  6. Step 6: Final answer
    x = 356,488.26

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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.