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Finding the Third Proportional to 147,669.75 and 322,066.97

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Solution

The third proportional to 147,669.75 and 322,066.97 is: 702,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,669.75 : 322,066.97 = 322,066.97 : x
  2. Step 2: Convert to fraction form
    147,669.75/322,066.97 = 322,066.97/x
  3. Step 3: Cross multiply
    147,669.75x = 322,066.97 × 322,066.97
  4. Step 4: Simplify right side
    147,669.75x = 103,727,132,359.81
  5. Step 5: Solve for x
    x = 103,727,132,359.81/147,669.75
  6. Step 6: Final answer
    x = 702,426.41

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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.