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Finding the Third Proportional to 207,488.25 and 317,256.75

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Solution

The third proportional to 207,488.25 and 317,256.75 is: 485,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,488.25 : 317,256.75 = 317,256.75 : x
  2. Step 2: Convert to fraction form
    207,488.25/317,256.75 = 317,256.75/x
  3. Step 3: Cross multiply
    207,488.25x = 317,256.75 × 317,256.75
  4. Step 4: Simplify right side
    207,488.25x = 100,651,845,420.56
  5. Step 5: Solve for x
    x = 100,651,845,420.56/207,488.25
  6. Step 6: Final answer
    x = 485,096.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.