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Finding the Third Proportional to 223,234.50 and 319,101

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Solution

The third proportional to 223,234.50 and 319,101 is: 456,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,234.50 : 319,101 = 319,101 : x
  2. Step 2: Convert to fraction form
    223,234.50/319,101 = 319,101/x
  3. Step 3: Cross multiply
    223,234.50x = 319,101 × 319,101
  4. Step 4: Simplify right side
    223,234.50x = 101,825,448,201
  5. Step 5: Solve for x
    x = 101,825,448,201/223,234.50
  6. Step 6: Final answer
    x = 456,136.70

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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.