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Finding the Third Proportional to 184,422 and 402,357

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Solution

The third proportional to 184,422 and 402,357 is: 877,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,422 : 402,357 = 402,357 : x
  2. Step 2: Convert to fraction form
    184,422/402,357 = 402,357/x
  3. Step 3: Cross multiply
    184,422x = 402,357 × 402,357
  4. Step 4: Simplify right side
    184,422x = 161,891,155,449
  5. Step 5: Solve for x
    x = 161,891,155,449/184,422
  6. Step 6: Final answer
    x = 877,829.95

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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.