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Finding the Third Proportional to 209,800.50 and 316,443

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Solution

The third proportional to 209,800.50 and 316,443 is: 477,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.50 : 316,443 = 316,443 : x
  2. Step 2: Convert to fraction form
    209,800.50/316,443 = 316,443/x
  3. Step 3: Cross multiply
    209,800.50x = 316,443 × 316,443
  4. Step 4: Simplify right side
    209,800.50x = 100,136,172,249
  5. Step 5: Solve for x
    x = 100,136,172,249/209,800.50
  6. Step 6: Final answer
    x = 477,292.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.