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Finding the Third Proportional to 106,598 and 229,330

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Solution

The third proportional to 106,598 and 229,330 is: 493,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598 : 229,330 = 229,330 : x
  2. Step 2: Convert to fraction form
    106,598/229,330 = 229,330/x
  3. Step 3: Cross multiply
    106,598x = 229,330 × 229,330
  4. Step 4: Simplify right side
    106,598x = 52,592,248,900
  5. Step 5: Solve for x
    x = 52,592,248,900/106,598
  6. Step 6: Final answer
    x = 493,369.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.