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Finding the Third Proportional to 180,280 and 282,798

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Solution

The third proportional to 180,280 and 282,798 is: 443,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,280 : 282,798 = 282,798 : x
  2. Step 2: Convert to fraction form
    180,280/282,798 = 282,798/x
  3. Step 3: Cross multiply
    180,280x = 282,798 × 282,798
  4. Step 4: Simplify right side
    180,280x = 79,974,708,804
  5. Step 5: Solve for x
    x = 79,974,708,804/180,280
  6. Step 6: Final answer
    x = 443,613.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.