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Finding the Third Proportional to 219,776 and 250,880

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Solution

The third proportional to 219,776 and 250,880 is: 286,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,776 : 250,880 = 250,880 : x
  2. Step 2: Convert to fraction form
    219,776/250,880 = 250,880/x
  3. Step 3: Cross multiply
    219,776x = 250,880 × 250,880
  4. Step 4: Simplify right side
    219,776x = 62,940,774,400
  5. Step 5: Solve for x
    x = 62,940,774,400/219,776
  6. Step 6: Final answer
    x = 286,386.02

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.