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Finding the Third Proportional to 141,985.50 and 305,841

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Solution

The third proportional to 141,985.50 and 305,841 is: 658,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,985.50 : 305,841 = 305,841 : x
  2. Step 2: Convert to fraction form
    141,985.50/305,841 = 305,841/x
  3. Step 3: Cross multiply
    141,985.50x = 305,841 × 305,841
  4. Step 4: Simplify right side
    141,985.50x = 93,538,717,281
  5. Step 5: Solve for x
    x = 93,538,717,281/141,985.50
  6. Step 6: Final answer
    x = 658,790.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.