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Finding the Third Proportional to 231,413.63 and 349,587.56

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Solution

The third proportional to 231,413.63 and 349,587.56 is: 528,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,413.63 : 349,587.56 = 349,587.56 : x
  2. Step 2: Convert to fraction form
    231,413.63/349,587.56 = 349,587.56/x
  3. Step 3: Cross multiply
    231,413.63x = 349,587.56 × 349,587.56
  4. Step 4: Simplify right side
    231,413.63x = 122,211,463,854.69
  5. Step 5: Solve for x
    x = 122,211,463,854.69/231,413.63
  6. Step 6: Final answer
    x = 528,108.33

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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.