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Finding the Third Proportional to 152,000 and 330,240

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Solution

The third proportional to 152,000 and 330,240 is: 717,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,000 : 330,240 = 330,240 : x
  2. Step 2: Convert to fraction form
    152,000/330,240 = 330,240/x
  3. Step 3: Cross multiply
    152,000x = 330,240 × 330,240
  4. Step 4: Simplify right side
    152,000x = 109,058,457,600
  5. Step 5: Solve for x
    x = 109,058,457,600/152,000
  6. Step 6: Final answer
    x = 717,489.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.