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Finding the Third Proportional to 143,870 and 293,452

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Solution

The third proportional to 143,870 and 293,452 is: 598,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,870 : 293,452 = 293,452 : x
  2. Step 2: Convert to fraction form
    143,870/293,452 = 293,452/x
  3. Step 3: Cross multiply
    143,870x = 293,452 × 293,452
  4. Step 4: Simplify right side
    143,870x = 86,114,076,304
  5. Step 5: Solve for x
    x = 86,114,076,304/143,870
  6. Step 6: Final answer
    x = 598,554.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.