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Finding the Third Proportional to 103,272 and 218,952

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Solution

The third proportional to 103,272 and 218,952 is: 464,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,272 : 218,952 = 218,952 : x
  2. Step 2: Convert to fraction form
    103,272/218,952 = 218,952/x
  3. Step 3: Cross multiply
    103,272x = 218,952 × 218,952
  4. Step 4: Simplify right side
    103,272x = 47,939,978,304
  5. Step 5: Solve for x
    x = 47,939,978,304/103,272
  6. Step 6: Final answer
    x = 464,210.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.