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Finding the Third Proportional to 226,156 and 475,558

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Solution

The third proportional to 226,156 and 475,558 is: 999,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,156 : 475,558 = 475,558 : x
  2. Step 2: Convert to fraction form
    226,156/475,558 = 475,558/x
  3. Step 3: Cross multiply
    226,156x = 475,558 × 475,558
  4. Step 4: Simplify right side
    226,156x = 226,155,411,364
  5. Step 5: Solve for x
    x = 226,155,411,364/226,156
  6. Step 6: Final answer
    x = 999,997.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.