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Finding the Third Proportional to 152,122.22 and 236,487.09

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Solution

The third proportional to 152,122.22 and 236,487.09 is: 367,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,122.22 : 236,487.09 = 236,487.09 : x
  2. Step 2: Convert to fraction form
    152,122.22/236,487.09 = 236,487.09/x
  3. Step 3: Cross multiply
    152,122.22x = 236,487.09 × 236,487.09
  4. Step 4: Simplify right side
    152,122.22x = 55,926,145,510.32
  5. Step 5: Solve for x
    x = 55,926,145,510.32/152,122.22
  6. Step 6: Final answer
    x = 367,639.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.