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Finding the Third Proportional to 180,848 and 267,586

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Solution

The third proportional to 180,848 and 267,586 is: 395,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,848 : 267,586 = 267,586 : x
  2. Step 2: Convert to fraction form
    180,848/267,586 = 267,586/x
  3. Step 3: Cross multiply
    180,848x = 267,586 × 267,586
  4. Step 4: Simplify right side
    180,848x = 71,602,267,396
  5. Step 5: Solve for x
    x = 71,602,267,396/180,848
  6. Step 6: Final answer
    x = 395,925.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.