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Finding the Third Proportional to 147,718.69 and 322,172.44

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Solution

The third proportional to 147,718.69 and 322,172.44 is: 702,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,718.69 : 322,172.44 = 322,172.44 : x
  2. Step 2: Convert to fraction form
    147,718.69/322,172.44 = 322,172.44/x
  3. Step 3: Cross multiply
    147,718.69x = 322,172.44 × 322,172.44
  4. Step 4: Simplify right side
    147,718.69x = 103,795,079,484.69
  5. Step 5: Solve for x
    x = 103,795,079,484.69/147,718.69
  6. Step 6: Final answer
    x = 702,653.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.