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Finding the Third Proportional to 207,829 and 448,108

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Solution

The third proportional to 207,829 and 448,108 is: 966,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,829 : 448,108 = 448,108 : x
  2. Step 2: Convert to fraction form
    207,829/448,108 = 448,108/x
  3. Step 3: Cross multiply
    207,829x = 448,108 × 448,108
  4. Step 4: Simplify right side
    207,829x = 200,800,779,664
  5. Step 5: Solve for x
    x = 200,800,779,664/207,829
  6. Step 6: Final answer
    x = 966,182.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.