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Finding the Third Proportional to 223,472 and 319,233

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Solution

The third proportional to 223,472 and 319,233 is: 456,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,472 : 319,233 = 319,233 : x
  2. Step 2: Convert to fraction form
    223,472/319,233 = 319,233/x
  3. Step 3: Cross multiply
    223,472x = 319,233 × 319,233
  4. Step 4: Simplify right side
    223,472x = 101,909,708,289
  5. Step 5: Solve for x
    x = 101,909,708,289/223,472
  6. Step 6: Final answer
    x = 456,028.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.