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Finding the Third Proportional to 122,528.53 and 265,413.38

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Solution

The third proportional to 122,528.53 and 265,413.38 is: 574,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,528.53 : 265,413.38 = 265,413.38 : x
  2. Step 2: Convert to fraction form
    122,528.53/265,413.38 = 265,413.38/x
  3. Step 3: Cross multiply
    122,528.53x = 265,413.38 × 265,413.38
  4. Step 4: Simplify right side
    122,528.53x = 70,444,259,628.89
  5. Step 5: Solve for x
    x = 70,444,259,628.89/122,528.53
  6. Step 6: Final answer
    x = 574,921.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.