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Finding the Third Proportional to 147,634 and 229,229

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Solution

The third proportional to 147,634 and 229,229 is: 355,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,634 : 229,229 = 229,229 : x
  2. Step 2: Convert to fraction form
    147,634/229,229 = 229,229/x
  3. Step 3: Cross multiply
    147,634x = 229,229 × 229,229
  4. Step 4: Simplify right side
    147,634x = 52,545,934,441
  5. Step 5: Solve for x
    x = 52,545,934,441/147,634
  6. Step 6: Final answer
    x = 355,920.28

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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.