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Finding the Third Proportional to 137,718 and 301,643

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Solution

The third proportional to 137,718 and 301,643 is: 660,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718 : 301,643 = 301,643 : x
  2. Step 2: Convert to fraction form
    137,718/301,643 = 301,643/x
  3. Step 3: Cross multiply
    137,718x = 301,643 × 301,643
  4. Step 4: Simplify right side
    137,718x = 90,988,499,449
  5. Step 5: Solve for x
    x = 90,988,499,449/137,718
  6. Step 6: Final answer
    x = 660,687.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.