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Finding the Third Proportional to 232,454.50 and 340,716

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Solution

The third proportional to 232,454.50 and 340,716 is: 499,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,454.50 : 340,716 = 340,716 : x
  2. Step 2: Convert to fraction form
    232,454.50/340,716 = 340,716/x
  3. Step 3: Cross multiply
    232,454.50x = 340,716 × 340,716
  4. Step 4: Simplify right side
    232,454.50x = 116,087,392,656
  5. Step 5: Solve for x
    x = 116,087,392,656/232,454.50
  6. Step 6: Final answer
    x = 499,398.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.