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Finding the Third Proportional to 70,241 and 152,386

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Solution

The third proportional to 70,241 and 152,386 is: 330,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,241 : 152,386 = 152,386 : x
  2. Step 2: Convert to fraction form
    70,241/152,386 = 152,386/x
  3. Step 3: Cross multiply
    70,241x = 152,386 × 152,386
  4. Step 4: Simplify right side
    70,241x = 23,221,492,996
  5. Step 5: Solve for x
    x = 23,221,492,996/70,241
  6. Step 6: Final answer
    x = 330,597.41

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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.