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Finding the Third Proportional to 141,846 and 306,107.50

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Solution

The third proportional to 141,846 and 306,107.50 is: 660,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,846 : 306,107.50 = 306,107.50 : x
  2. Step 2: Convert to fraction form
    141,846/306,107.50 = 306,107.50/x
  3. Step 3: Cross multiply
    141,846x = 306,107.50 × 306,107.50
  4. Step 4: Simplify right side
    141,846x = 93,701,801,556.25
  5. Step 5: Solve for x
    x = 93,701,801,556.25/141,846
  6. Step 6: Final answer
    x = 660,588.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.