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Finding the Third Proportional to 146,982 and 319,020

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Solution

The third proportional to 146,982 and 319,020 is: 692,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,982 : 319,020 = 319,020 : x
  2. Step 2: Convert to fraction form
    146,982/319,020 = 319,020/x
  3. Step 3: Cross multiply
    146,982x = 319,020 × 319,020
  4. Step 4: Simplify right side
    146,982x = 101,773,760,400
  5. Step 5: Solve for x
    x = 101,773,760,400/146,982
  6. Step 6: Final answer
    x = 692,423.29

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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.