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Finding the Third Proportional to 184,172 and 403,480

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Solution

The third proportional to 184,172 and 403,480 is: 883,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,172 : 403,480 = 403,480 : x
  2. Step 2: Convert to fraction form
    184,172/403,480 = 403,480/x
  3. Step 3: Cross multiply
    184,172x = 403,480 × 403,480
  4. Step 4: Simplify right side
    184,172x = 162,796,110,400
  5. Step 5: Solve for x
    x = 162,796,110,400/184,172
  6. Step 6: Final answer
    x = 883,935.18

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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.