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Finding the Third Proportional to 152,239.50 and 327,159

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Solution

The third proportional to 152,239.50 and 327,159 is: 703,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,239.50 : 327,159 = 327,159 : x
  2. Step 2: Convert to fraction form
    152,239.50/327,159 = 327,159/x
  3. Step 3: Cross multiply
    152,239.50x = 327,159 × 327,159
  4. Step 4: Simplify right side
    152,239.50x = 107,033,011,281
  5. Step 5: Solve for x
    x = 107,033,011,281/152,239.50
  6. Step 6: Final answer
    x = 703,056.77

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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.