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Finding the Third Proportional to 106,624.50 and 226,369

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Solution

The third proportional to 106,624.50 and 226,369 is: 480,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,624.50 : 226,369 = 226,369 : x
  2. Step 2: Convert to fraction form
    106,624.50/226,369 = 226,369/x
  3. Step 3: Cross multiply
    106,624.50x = 226,369 × 226,369
  4. Step 4: Simplify right side
    106,624.50x = 51,242,924,161
  5. Step 5: Solve for x
    x = 51,242,924,161/106,624.50
  6. Step 6: Final answer
    x = 480,592.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.