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Finding the Third Proportional to 72,235.50 and 155,223

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Solution

The third proportional to 72,235.50 and 155,223 is: 333,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,235.50 : 155,223 = 155,223 : x
  2. Step 2: Convert to fraction form
    72,235.50/155,223 = 155,223/x
  3. Step 3: Cross multiply
    72,235.50x = 155,223 × 155,223
  4. Step 4: Simplify right side
    72,235.50x = 24,094,179,729
  5. Step 5: Solve for x
    x = 24,094,179,729/72,235.50
  6. Step 6: Final answer
    x = 333,550.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.