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Finding the Third Proportional to 226,543.50 and 317,560.50

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Solution

The third proportional to 226,543.50 and 317,560.50 is: 445,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,543.50 : 317,560.50 = 317,560.50 : x
  2. Step 2: Convert to fraction form
    226,543.50/317,560.50 = 317,560.50/x
  3. Step 3: Cross multiply
    226,543.50x = 317,560.50 × 317,560.50
  4. Step 4: Simplify right side
    226,543.50x = 100,844,671,160.25
  5. Step 5: Solve for x
    x = 100,844,671,160.25/226,543.50
  6. Step 6: Final answer
    x = 445,144.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.