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Finding the Third Proportional to 184,432 and 403,592

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Solution

The third proportional to 184,432 and 403,592 is: 883,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,432 : 403,592 = 403,592 : x
  2. Step 2: Convert to fraction form
    184,432/403,592 = 403,592/x
  3. Step 3: Cross multiply
    184,432x = 403,592 × 403,592
  4. Step 4: Simplify right side
    184,432x = 162,886,502,464
  5. Step 5: Solve for x
    x = 162,886,502,464/184,432
  6. Step 6: Final answer
    x = 883,179.18

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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.