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Finding the Third Proportional to 147,172.03 and 317,869.41

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Solution

The third proportional to 147,172.03 and 317,869.41 is: 686,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,172.03 : 317,869.41 = 317,869.41 : x
  2. Step 2: Convert to fraction form
    147,172.03/317,869.41 = 317,869.41/x
  3. Step 3: Cross multiply
    147,172.03x = 317,869.41 × 317,869.41
  4. Step 4: Simplify right side
    147,172.03x = 101,040,959,429.73
  5. Step 5: Solve for x
    x = 101,040,959,429.73/147,172.03
  6. Step 6: Final answer
    x = 686,550.01

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Why These Related Problems?

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