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Finding the Third Proportional to 223,467 and 319,225.13

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Solution

The third proportional to 223,467 and 319,225.13 is: 456,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,467 : 319,225.13 = 319,225.13 : x
  2. Step 2: Convert to fraction form
    223,467/319,225.13 = 319,225.13/x
  3. Step 3: Cross multiply
    223,467x = 319,225.13 × 319,225.13
  4. Step 4: Simplify right side
    223,467x = 101,904,680,431.27
  5. Step 5: Solve for x
    x = 101,904,680,431.27/223,467
  6. Step 6: Final answer
    x = 456,016.68

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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.