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Finding the Third Proportional to 147,806 and 229,299

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Solution

The third proportional to 147,806 and 229,299 is: 355,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,806 : 229,299 = 229,299 : x
  2. Step 2: Convert to fraction form
    147,806/229,299 = 229,299/x
  3. Step 3: Cross multiply
    147,806x = 229,299 × 229,299
  4. Step 4: Simplify right side
    147,806x = 52,578,031,401
  5. Step 5: Solve for x
    x = 52,578,031,401/147,806
  6. Step 6: Final answer
    x = 355,723.25

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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.