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Finding the Third Proportional to 147,785 and 229,302

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Solution

The third proportional to 147,785 and 229,302 is: 355,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,785 : 229,302 = 229,302 : x
  2. Step 2: Convert to fraction form
    147,785/229,302 = 229,302/x
  3. Step 3: Cross multiply
    147,785x = 229,302 × 229,302
  4. Step 4: Simplify right side
    147,785x = 52,579,407,204
  5. Step 5: Solve for x
    x = 52,579,407,204/147,785
  6. Step 6: Final answer
    x = 355,783.11

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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.