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Finding the Third Proportional to 210,078.28 and 317,618.72

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Solution

The third proportional to 210,078.28 and 317,618.72 is: 480,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,078.28 : 317,618.72 = 317,618.72 : x
  2. Step 2: Convert to fraction form
    210,078.28/317,618.72 = 317,618.72/x
  3. Step 3: Cross multiply
    210,078.28x = 317,618.72 × 317,618.72
  4. Step 4: Simplify right side
    210,078.28x = 100,881,650,500.39
  5. Step 5: Solve for x
    x = 100,881,650,500.39/210,078.28
  6. Step 6: Final answer
    x = 480,209.81

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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.