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Finding the Third Proportional to 147,160 and 227,814

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Solution

The third proportional to 147,160 and 227,814 is: 352,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,160 : 227,814 = 227,814 : x
  2. Step 2: Convert to fraction form
    147,160/227,814 = 227,814/x
  3. Step 3: Cross multiply
    147,160x = 227,814 × 227,814
  4. Step 4: Simplify right side
    147,160x = 51,899,218,596
  5. Step 5: Solve for x
    x = 51,899,218,596/147,160
  6. Step 6: Final answer
    x = 352,672.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.