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Finding the Third Proportional to 272,165 and 569,116

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Solution

The third proportional to 272,165 and 569,116 is: 1,190,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,165 : 569,116 = 569,116 : x
  2. Step 2: Convert to fraction form
    272,165/569,116 = 569,116/x
  3. Step 3: Cross multiply
    272,165x = 569,116 × 569,116
  4. Step 4: Simplify right side
    272,165x = 323,893,021,456
  5. Step 5: Solve for x
    x = 323,893,021,456/272,165
  6. Step 6: Final answer
    x = 1,190,061.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.