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Finding the Third Proportional to 230,216 and 350,124

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Solution

The third proportional to 230,216 and 350,124 is: 532,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216 : 350,124 = 350,124 : x
  2. Step 2: Convert to fraction form
    230,216/350,124 = 350,124/x
  3. Step 3: Cross multiply
    230,216x = 350,124 × 350,124
  4. Step 4: Simplify right side
    230,216x = 122,586,815,376
  5. Step 5: Solve for x
    x = 122,586,815,376/230,216
  6. Step 6: Final answer
    x = 532,486.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.