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Finding the Third Proportional to 175,787 and 364,035

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Solution

The third proportional to 175,787 and 364,035 is: 753,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,787 : 364,035 = 364,035 : x
  2. Step 2: Convert to fraction form
    175,787/364,035 = 364,035/x
  3. Step 3: Cross multiply
    175,787x = 364,035 × 364,035
  4. Step 4: Simplify right side
    175,787x = 132,521,481,225
  5. Step 5: Solve for x
    x = 132,521,481,225/175,787
  6. Step 6: Final answer
    x = 753,875.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.