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Finding the Third Proportional to 147,078.28 and 317,484.56

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Solution

The third proportional to 147,078.28 and 317,484.56 is: 685,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,078.28 : 317,484.56 = 317,484.56 : x
  2. Step 2: Convert to fraction form
    147,078.28/317,484.56 = 317,484.56/x
  3. Step 3: Cross multiply
    147,078.28x = 317,484.56 × 317,484.56
  4. Step 4: Simplify right side
    147,078.28x = 100,796,447,425.82
  5. Step 5: Solve for x
    x = 100,796,447,425.82/147,078.28
  6. Step 6: Final answer
    x = 685,325.17

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