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Finding the Third Proportional to 230,369.06 and 348,773.34

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Solution

The third proportional to 230,369.06 and 348,773.34 is: 528,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,369.06 : 348,773.34 = 348,773.34 : x
  2. Step 2: Convert to fraction form
    230,369.06/348,773.34 = 348,773.34/x
  3. Step 3: Cross multiply
    230,369.06x = 348,773.34 × 348,773.34
  4. Step 4: Simplify right side
    230,369.06x = 121,642,845,310.56
  5. Step 5: Solve for x
    x = 121,642,845,310.56/230,369.06
  6. Step 6: Final answer
    x = 528,034.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.