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Finding the Third Proportional to 70,246 and 152,396

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Solution

The third proportional to 70,246 and 152,396 is: 330,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,246 : 152,396 = 152,396 : x
  2. Step 2: Convert to fraction form
    70,246/152,396 = 152,396/x
  3. Step 3: Cross multiply
    70,246x = 152,396 × 152,396
  4. Step 4: Simplify right side
    70,246x = 23,224,540,816
  5. Step 5: Solve for x
    x = 23,224,540,816/70,246
  6. Step 6: Final answer
    x = 330,617.27

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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.