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Finding the Third Proportional to 141,391.75 and 307,326.50

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Solution

The third proportional to 141,391.75 and 307,326.50 is: 667,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,391.75 : 307,326.50 = 307,326.50 : x
  2. Step 2: Convert to fraction form
    141,391.75/307,326.50 = 307,326.50/x
  3. Step 3: Cross multiply
    141,391.75x = 307,326.50 × 307,326.50
  4. Step 4: Simplify right side
    141,391.75x = 94,449,577,602.25
  5. Step 5: Solve for x
    x = 94,449,577,602.25/141,391.75
  6. Step 6: Final answer
    x = 667,999.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.