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Finding the Third Proportional to 154,798.50 and 236,632.50

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Solution

The third proportional to 154,798.50 and 236,632.50 is: 361,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,798.50 : 236,632.50 = 236,632.50 : x
  2. Step 2: Convert to fraction form
    154,798.50/236,632.50 = 236,632.50/x
  3. Step 3: Cross multiply
    154,798.50x = 236,632.50 × 236,632.50
  4. Step 4: Simplify right side
    154,798.50x = 55,994,940,056.25
  5. Step 5: Solve for x
    x = 55,994,940,056.25/154,798.50
  6. Step 6: Final answer
    x = 361,727.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.