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Finding the Third Proportional to 232,518.50 and 498,251

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Solution

The third proportional to 232,518.50 and 498,251 is: 1,067,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,518.50 : 498,251 = 498,251 : x
  2. Step 2: Convert to fraction form
    232,518.50/498,251 = 498,251/x
  3. Step 3: Cross multiply
    232,518.50x = 498,251 × 498,251
  4. Step 4: Simplify right side
    232,518.50x = 248,254,059,001
  5. Step 5: Solve for x
    x = 248,254,059,001/232,518.50
  6. Step 6: Final answer
    x = 1,067,674.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.