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Finding the Third Proportional to 230,829.75 and 349,319.25

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Solution

The third proportional to 230,829.75 and 349,319.25 is: 528,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,829.75 : 349,319.25 = 349,319.25 : x
  2. Step 2: Convert to fraction form
    230,829.75/349,319.25 = 349,319.25/x
  3. Step 3: Cross multiply
    230,829.75x = 349,319.25 × 349,319.25
  4. Step 4: Simplify right side
    230,829.75x = 122,023,938,420.56
  5. Step 5: Solve for x
    x = 122,023,938,420.56/230,829.75
  6. Step 6: Final answer
    x = 528,631.77

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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.