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Finding the Third Proportional to 184,550 and 402,452

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Solution

The third proportional to 184,550 and 402,452 is: 877,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,550 : 402,452 = 402,452 : x
  2. Step 2: Convert to fraction form
    184,550/402,452 = 402,452/x
  3. Step 3: Cross multiply
    184,550x = 402,452 × 402,452
  4. Step 4: Simplify right side
    184,550x = 161,967,612,304
  5. Step 5: Solve for x
    x = 161,967,612,304/184,550
  6. Step 6: Final answer
    x = 877,635.40

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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.