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Finding the Third Proportional to 152,725.50 and 218,160.84

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Solution

The third proportional to 152,725.50 and 218,160.84 is: 311,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,725.50 : 218,160.84 = 218,160.84 : x
  2. Step 2: Convert to fraction form
    152,725.50/218,160.84 = 218,160.84/x
  3. Step 3: Cross multiply
    152,725.50x = 218,160.84 × 218,160.84
  4. Step 4: Simplify right side
    152,725.50x = 47,594,153,745.71
  5. Step 5: Solve for x
    x = 47,594,153,745.71/152,725.50
  6. Step 6: Final answer
    x = 311,632.00

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.