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Finding the Third Proportional to 152,276 and 227,574

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Solution

The third proportional to 152,276 and 227,574 is: 340,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,276 : 227,574 = 227,574 : x
  2. Step 2: Convert to fraction form
    152,276/227,574 = 227,574/x
  3. Step 3: Cross multiply
    152,276x = 227,574 × 227,574
  4. Step 4: Simplify right side
    152,276x = 51,789,925,476
  5. Step 5: Solve for x
    x = 51,789,925,476/152,276
  6. Step 6: Final answer
    x = 340,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.