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Finding the Third Proportional to 141,214.50 and 310,860

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Solution

The third proportional to 141,214.50 and 310,860 is: 684,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,214.50 : 310,860 = 310,860 : x
  2. Step 2: Convert to fraction form
    141,214.50/310,860 = 310,860/x
  3. Step 3: Cross multiply
    141,214.50x = 310,860 × 310,860
  4. Step 4: Simplify right side
    141,214.50x = 96,633,939,600
  5. Step 5: Solve for x
    x = 96,633,939,600/141,214.50
  6. Step 6: Final answer
    x = 684,306.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.