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Finding the Third Proportional to 184,413 and 402,338

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Solution

The third proportional to 184,413 and 402,338 is: 877,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,413 : 402,338 = 402,338 : x
  2. Step 2: Convert to fraction form
    184,413/402,338 = 402,338/x
  3. Step 3: Cross multiply
    184,413x = 402,338 × 402,338
  4. Step 4: Simplify right side
    184,413x = 161,875,866,244
  5. Step 5: Solve for x
    x = 161,875,866,244/184,413
  6. Step 6: Final answer
    x = 877,789.89

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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.