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Finding the Third Proportional to 174,031 and 370,822

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Solution

The third proportional to 174,031 and 370,822 is: 790,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,031 : 370,822 = 370,822 : x
  2. Step 2: Convert to fraction form
    174,031/370,822 = 370,822/x
  3. Step 3: Cross multiply
    174,031x = 370,822 × 370,822
  4. Step 4: Simplify right side
    174,031x = 137,508,955,684
  5. Step 5: Solve for x
    x = 137,508,955,684/174,031
  6. Step 6: Final answer
    x = 790,140.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.