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Finding the Third Proportional to 70,206 and 152,328

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Solution

The third proportional to 70,206 and 152,328 is: 330,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206 : 152,328 = 152,328 : x
  2. Step 2: Convert to fraction form
    70,206/152,328 = 152,328/x
  3. Step 3: Cross multiply
    70,206x = 152,328 × 152,328
  4. Step 4: Simplify right side
    70,206x = 23,203,819,584
  5. Step 5: Solve for x
    x = 23,203,819,584/70,206
  6. Step 6: Final answer
    x = 330,510.49

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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.