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Finding the Third Proportional to 243.84 and 569.11

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Solution

The third proportional to 243.84 and 569.11 is: 1,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 569.11 = 569.11 : x
  2. Step 2: Convert to fraction form
    243.84/569.11 = 569.11/x
  3. Step 3: Cross multiply
    243.84x = 569.11 × 569.11
  4. Step 4: Simplify right side
    243.84x = 323,885.48
  5. Step 5: Solve for x
    x = 323,885.48/243.84
  6. Step 6: Final answer
    x = 1,328.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.