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Finding the Third Proportional to 147,988 and 227,706

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Solution

The third proportional to 147,988 and 227,706 is: 350,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,988 : 227,706 = 227,706 : x
  2. Step 2: Convert to fraction form
    147,988/227,706 = 227,706/x
  3. Step 3: Cross multiply
    147,988x = 227,706 × 227,706
  4. Step 4: Simplify right side
    147,988x = 51,850,022,436
  5. Step 5: Solve for x
    x = 51,850,022,436/147,988
  6. Step 6: Final answer
    x = 350,366.40

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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.