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Finding the Third Proportional to 70,344 and 151,786

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Solution

The third proportional to 70,344 and 151,786 is: 327,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,344 : 151,786 = 151,786 : x
  2. Step 2: Convert to fraction form
    70,344/151,786 = 151,786/x
  3. Step 3: Cross multiply
    70,344x = 151,786 × 151,786
  4. Step 4: Simplify right side
    70,344x = 23,038,989,796
  5. Step 5: Solve for x
    x = 23,038,989,796/70,344
  6. Step 6: Final answer
    x = 327,518.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.