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Finding the Third Proportional to 243,678 and 382,347

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Solution

The third proportional to 243,678 and 382,347 is: 599,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,678 : 382,347 = 382,347 : x
  2. Step 2: Convert to fraction form
    243,678/382,347 = 382,347/x
  3. Step 3: Cross multiply
    243,678x = 382,347 × 382,347
  4. Step 4: Simplify right side
    243,678x = 146,189,228,409
  5. Step 5: Solve for x
    x = 146,189,228,409/243,678
  6. Step 6: Final answer
    x = 599,927.89

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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.