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Finding the Third Proportional to 147,151.69 and 317,823.75

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Solution

The third proportional to 147,151.69 and 317,823.75 is: 686,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,151.69 : 317,823.75 = 317,823.75 : x
  2. Step 2: Convert to fraction form
    147,151.69/317,823.75 = 317,823.75/x
  3. Step 3: Cross multiply
    147,151.69x = 317,823.75 × 317,823.75
  4. Step 4: Simplify right side
    147,151.69x = 101,011,936,064.06
  5. Step 5: Solve for x
    x = 101,011,936,064.06/147,151.69
  6. Step 6: Final answer
    x = 686,447.69

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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.