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Finding the Third Proportional to 180,798 and 267,507

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Solution

The third proportional to 180,798 and 267,507 is: 395,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,798 : 267,507 = 267,507 : x
  2. Step 2: Convert to fraction form
    180,798/267,507 = 267,507/x
  3. Step 3: Cross multiply
    180,798x = 267,507 × 267,507
  4. Step 4: Simplify right side
    180,798x = 71,559,995,049
  5. Step 5: Solve for x
    x = 71,559,995,049/180,798
  6. Step 6: Final answer
    x = 395,800.81

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