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Finding the Third Proportional to 167,572 and 361,388

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Solution

The third proportional to 167,572 and 361,388 is: 779,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,572 : 361,388 = 361,388 : x
  2. Step 2: Convert to fraction form
    167,572/361,388 = 361,388/x
  3. Step 3: Cross multiply
    167,572x = 361,388 × 361,388
  4. Step 4: Simplify right side
    167,572x = 130,601,286,544
  5. Step 5: Solve for x
    x = 130,601,286,544/167,572
  6. Step 6: Final answer
    x = 779,374.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.