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Finding the Third Proportional to 183,537 and 403,227

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Solution

The third proportional to 183,537 and 403,227 is: 885,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,537 : 403,227 = 403,227 : x
  2. Step 2: Convert to fraction form
    183,537/403,227 = 403,227/x
  3. Step 3: Cross multiply
    183,537x = 403,227 × 403,227
  4. Step 4: Simplify right side
    183,537x = 162,592,013,529
  5. Step 5: Solve for x
    x = 162,592,013,529/183,537
  6. Step 6: Final answer
    x = 885,881.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.