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Finding the Third Proportional to 141,837 and 209,952

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Solution

The third proportional to 141,837 and 209,952 is: 310,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,837 : 209,952 = 209,952 : x
  2. Step 2: Convert to fraction form
    141,837/209,952 = 209,952/x
  3. Step 3: Cross multiply
    141,837x = 209,952 × 209,952
  4. Step 4: Simplify right side
    141,837x = 44,079,842,304
  5. Step 5: Solve for x
    x = 44,079,842,304/141,837
  6. Step 6: Final answer
    x = 310,778.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.