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Finding the Third Proportional to 144,722 and 308,560

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Solution

The third proportional to 144,722 and 308,560 is: 657,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,722 : 308,560 = 308,560 : x
  2. Step 2: Convert to fraction form
    144,722/308,560 = 308,560/x
  3. Step 3: Cross multiply
    144,722x = 308,560 × 308,560
  4. Step 4: Simplify right side
    144,722x = 95,209,273,600
  5. Step 5: Solve for x
    x = 95,209,273,600/144,722
  6. Step 6: Final answer
    x = 657,876.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.