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Finding the Third Proportional to 147,984 and 227,700

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Solution

The third proportional to 147,984 and 227,700 is: 350,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,984 : 227,700 = 227,700 : x
  2. Step 2: Convert to fraction form
    147,984/227,700 = 227,700/x
  3. Step 3: Cross multiply
    147,984x = 227,700 × 227,700
  4. Step 4: Simplify right side
    147,984x = 51,847,290,000
  5. Step 5: Solve for x
    x = 51,847,290,000/147,984
  6. Step 6: Final answer
    x = 350,357.40

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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.