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Finding the Third Proportional to 184,127 and 403,399

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Solution

The third proportional to 184,127 and 403,399 is: 883,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,127 : 403,399 = 403,399 : x
  2. Step 2: Convert to fraction form
    184,127/403,399 = 403,399/x
  3. Step 3: Cross multiply
    184,127x = 403,399 × 403,399
  4. Step 4: Simplify right side
    184,127x = 162,730,753,201
  5. Step 5: Solve for x
    x = 162,730,753,201/184,127
  6. Step 6: Final answer
    x = 883,796.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.