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Finding the Third Proportional to 70,289.25 and 151,805.25

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Solution

The third proportional to 70,289.25 and 151,805.25 is: 327,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,289.25 : 151,805.25 = 151,805.25 : x
  2. Step 2: Convert to fraction form
    70,289.25/151,805.25 = 151,805.25/x
  3. Step 3: Cross multiply
    70,289.25x = 151,805.25 × 151,805.25
  4. Step 4: Simplify right side
    70,289.25x = 23,044,833,927.56
  5. Step 5: Solve for x
    x = 23,044,833,927.56/70,289.25
  6. Step 6: Final answer
    x = 327,857.16

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Why These Related Problems?

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