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Finding the Third Proportional to 141,511.50 and 305,419.50

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Solution

The third proportional to 141,511.50 and 305,419.50 is: 659,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,511.50 : 305,419.50 = 305,419.50 : x
  2. Step 2: Convert to fraction form
    141,511.50/305,419.50 = 305,419.50/x
  3. Step 3: Cross multiply
    141,511.50x = 305,419.50 × 305,419.50
  4. Step 4: Simplify right side
    141,511.50x = 93,281,070,980.25
  5. Step 5: Solve for x
    x = 93,281,070,980.25/141,511.50
  6. Step 6: Final answer
    x = 659,176.61

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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.