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Finding the Third Proportional to 141,808.50 and 211,713.75

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Solution

The third proportional to 141,808.50 and 211,713.75 is: 316,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,808.50 : 211,713.75 = 211,713.75 : x
  2. Step 2: Convert to fraction form
    141,808.50/211,713.75 = 211,713.75/x
  3. Step 3: Cross multiply
    141,808.50x = 211,713.75 × 211,713.75
  4. Step 4: Simplify right side
    141,808.50x = 44,822,711,939.06
  5. Step 5: Solve for x
    x = 44,822,711,939.06/141,808.50
  6. Step 6: Final answer
    x = 316,079.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.