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Finding the Third Proportional to 175,968.07 and 239,006.64

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Solution

The third proportional to 175,968.07 and 239,006.64 is: 324,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,968.07 : 239,006.64 = 239,006.64 : x
  2. Step 2: Convert to fraction form
    175,968.07/239,006.64 = 239,006.64/x
  3. Step 3: Cross multiply
    175,968.07x = 239,006.64 × 239,006.64
  4. Step 4: Simplify right side
    175,968.07x = 57,124,172,395.61
  5. Step 5: Solve for x
    x = 57,124,172,395.61/175,968.07
  6. Step 6: Final answer
    x = 324,628.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.