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Finding the Third Proportional to 115,125.75 and 234,931.50

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Solution

The third proportional to 115,125.75 and 234,931.50 is: 479,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,125.75 : 234,931.50 = 234,931.50 : x
  2. Step 2: Convert to fraction form
    115,125.75/234,931.50 = 234,931.50/x
  3. Step 3: Cross multiply
    115,125.75x = 234,931.50 × 234,931.50
  4. Step 4: Simplify right side
    115,125.75x = 55,192,809,692.25
  5. Step 5: Solve for x
    x = 55,192,809,692.25/115,125.75
  6. Step 6: Final answer
    x = 479,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.