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Finding the Third Proportional to 182,672 and 286,632

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Solution

The third proportional to 182,672 and 286,632 is: 449,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,672 : 286,632 = 286,632 : x
  2. Step 2: Convert to fraction form
    182,672/286,632 = 286,632/x
  3. Step 3: Cross multiply
    182,672x = 286,632 × 286,632
  4. Step 4: Simplify right side
    182,672x = 82,157,903,424
  5. Step 5: Solve for x
    x = 82,157,903,424/182,672
  6. Step 6: Final answer
    x = 449,756.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.