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Finding the Third Proportional to 152,112.38 and 236,464.88

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Solution

The third proportional to 152,112.38 and 236,464.88 is: 367,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,112.38 : 236,464.88 = 236,464.88 : x
  2. Step 2: Convert to fraction form
    152,112.38/236,464.88 = 236,464.88/x
  3. Step 3: Cross multiply
    152,112.38x = 236,464.88 × 236,464.88
  4. Step 4: Simplify right side
    152,112.38x = 55,915,637,108.77
  5. Step 5: Solve for x
    x = 55,915,637,108.77/152,112.38
  6. Step 6: Final answer
    x = 367,594.27

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