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Finding the Third Proportional to 147,570 and 227,124

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Solution

The third proportional to 147,570 and 227,124 is: 349,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,570 : 227,124 = 227,124 : x
  2. Step 2: Convert to fraction form
    147,570/227,124 = 227,124/x
  3. Step 3: Cross multiply
    147,570x = 227,124 × 227,124
  4. Step 4: Simplify right side
    147,570x = 51,585,311,376
  5. Step 5: Solve for x
    x = 51,585,311,376/147,570
  6. Step 6: Final answer
    x = 349,565.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.