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Finding the Third Proportional to 141,843.75 and 302,461.50

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Solution

The third proportional to 141,843.75 and 302,461.50 is: 644,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,843.75 : 302,461.50 = 302,461.50 : x
  2. Step 2: Convert to fraction form
    141,843.75/302,461.50 = 302,461.50/x
  3. Step 3: Cross multiply
    141,843.75x = 302,461.50 × 302,461.50
  4. Step 4: Simplify right side
    141,843.75x = 91,482,958,982.25
  5. Step 5: Solve for x
    x = 91,482,958,982.25/141,843.75
  6. Step 6: Final answer
    x = 644,955.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.