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Finding the Third Proportional to 147,333 and 226,593

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Solution

The third proportional to 147,333 and 226,593 is: 348,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,333 : 226,593 = 226,593 : x
  2. Step 2: Convert to fraction form
    147,333/226,593 = 226,593/x
  3. Step 3: Cross multiply
    147,333x = 226,593 × 226,593
  4. Step 4: Simplify right side
    147,333x = 51,344,387,649
  5. Step 5: Solve for x
    x = 51,344,387,649/147,333
  6. Step 6: Final answer
    x = 348,492.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.