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Finding the Third Proportional to 143,020 and 310,643

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Solution

The third proportional to 143,020 and 310,643 is: 674,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,020 : 310,643 = 310,643 : x
  2. Step 2: Convert to fraction form
    143,020/310,643 = 310,643/x
  3. Step 3: Cross multiply
    143,020x = 310,643 × 310,643
  4. Step 4: Simplify right side
    143,020x = 96,499,073,449
  5. Step 5: Solve for x
    x = 96,499,073,449/143,020
  6. Step 6: Final answer
    x = 674,724.33

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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.