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Finding the Third Proportional to 184,432 and 402,377

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Solution

The third proportional to 184,432 and 402,377 is: 877,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,432 : 402,377 = 402,377 : x
  2. Step 2: Convert to fraction form
    184,432/402,377 = 402,377/x
  3. Step 3: Cross multiply
    184,432x = 402,377 × 402,377
  4. Step 4: Simplify right side
    184,432x = 161,907,250,129
  5. Step 5: Solve for x
    x = 161,907,250,129/184,432
  6. Step 6: Final answer
    x = 877,869.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.