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Finding the Third Proportional to 183,699 and 403,485

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Solution

The third proportional to 183,699 and 403,485 is: 886,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,699 : 403,485 = 403,485 : x
  2. Step 2: Convert to fraction form
    183,699/403,485 = 403,485/x
  3. Step 3: Cross multiply
    183,699x = 403,485 × 403,485
  4. Step 4: Simplify right side
    183,699x = 162,800,145,225
  5. Step 5: Solve for x
    x = 162,800,145,225/183,699
  6. Step 6: Final answer
    x = 886,233.16

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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.