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Finding the Third Proportional to 243,544 and 382,143

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Solution

The third proportional to 243,544 and 382,143 is: 599,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,544 : 382,143 = 382,143 : x
  2. Step 2: Convert to fraction form
    243,544/382,143 = 382,143/x
  3. Step 3: Cross multiply
    243,544x = 382,143 × 382,143
  4. Step 4: Simplify right side
    243,544x = 146,033,272,449
  5. Step 5: Solve for x
    x = 146,033,272,449/243,544
  6. Step 6: Final answer
    x = 599,617.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.