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Finding the Third Proportional to 155,988.75 and 223,072.13

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Solution

The third proportional to 155,988.75 and 223,072.13 is: 319,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,988.75 : 223,072.13 = 223,072.13 : x
  2. Step 2: Convert to fraction form
    155,988.75/223,072.13 = 223,072.13/x
  3. Step 3: Cross multiply
    155,988.75x = 223,072.13 × 223,072.13
  4. Step 4: Simplify right side
    155,988.75x = 49,761,172,952.02
  5. Step 5: Solve for x
    x = 49,761,172,952.02/155,988.75
  6. Step 6: Final answer
    x = 319,004.88

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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.