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Finding the Third Proportional to 152,664 and 330,741

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Solution

The third proportional to 152,664 and 330,741 is: 716,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,664 : 330,741 = 330,741 : x
  2. Step 2: Convert to fraction form
    152,664/330,741 = 330,741/x
  3. Step 3: Cross multiply
    152,664x = 330,741 × 330,741
  4. Step 4: Simplify right side
    152,664x = 109,389,609,081
  5. Step 5: Solve for x
    x = 109,389,609,081/152,664
  6. Step 6: Final answer
    x = 716,538.34

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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.