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Finding the Third Proportional to 180,874 and 266,082

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Solution

The third proportional to 180,874 and 266,082 is: 391,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,874 : 266,082 = 266,082 : x
  2. Step 2: Convert to fraction form
    180,874/266,082 = 266,082/x
  3. Step 3: Cross multiply
    180,874x = 266,082 × 266,082
  4. Step 4: Simplify right side
    180,874x = 70,799,630,724
  5. Step 5: Solve for x
    x = 70,799,630,724/180,874
  6. Step 6: Final answer
    x = 391,430.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.