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Finding the Third Proportional to 151,526 and 227,289

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Solution

The third proportional to 151,526 and 227,289 is: 340,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,526 : 227,289 = 227,289 : x
  2. Step 2: Convert to fraction form
    151,526/227,289 = 227,289/x
  3. Step 3: Cross multiply
    151,526x = 227,289 × 227,289
  4. Step 4: Simplify right side
    151,526x = 51,660,289,521
  5. Step 5: Solve for x
    x = 51,660,289,521/151,526
  6. Step 6: Final answer
    x = 340,933.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.