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Finding the Third Proportional to 141,577 and 308,020

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Solution

The third proportional to 141,577 and 308,020 is: 670,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,577 : 308,020 = 308,020 : x
  2. Step 2: Convert to fraction form
    141,577/308,020 = 308,020/x
  3. Step 3: Cross multiply
    141,577x = 308,020 × 308,020
  4. Step 4: Simplify right side
    141,577x = 94,876,320,400
  5. Step 5: Solve for x
    x = 94,876,320,400/141,577
  6. Step 6: Final answer
    x = 670,139.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.