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Finding the Third Proportional to 183,460 and 403,002

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Solution

The third proportional to 183,460 and 403,002 is: 885,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,460 : 403,002 = 403,002 : x
  2. Step 2: Convert to fraction form
    183,460/403,002 = 403,002/x
  3. Step 3: Cross multiply
    183,460x = 403,002 × 403,002
  4. Step 4: Simplify right side
    183,460x = 162,410,612,004
  5. Step 5: Solve for x
    x = 162,410,612,004/183,460
  6. Step 6: Final answer
    x = 885,264.43

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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.