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Finding the Third Proportional to 234,407.25 and 350,066.25

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Solution

The third proportional to 234,407.25 and 350,066.25 is: 522,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,407.25 : 350,066.25 = 350,066.25 : x
  2. Step 2: Convert to fraction form
    234,407.25/350,066.25 = 350,066.25/x
  3. Step 3: Cross multiply
    234,407.25x = 350,066.25 × 350,066.25
  4. Step 4: Simplify right side
    234,407.25x = 122,546,379,389.06
  5. Step 5: Solve for x
    x = 122,546,379,389.06/234,407.25
  6. Step 6: Final answer
    x = 522,792.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.