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Finding the Third Proportional to 184,352 and 402,052

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Solution

The third proportional to 184,352 and 402,052 is: 876,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,352 : 402,052 = 402,052 : x
  2. Step 2: Convert to fraction form
    184,352/402,052 = 402,052/x
  3. Step 3: Cross multiply
    184,352x = 402,052 × 402,052
  4. Step 4: Simplify right side
    184,352x = 161,645,810,704
  5. Step 5: Solve for x
    x = 161,645,810,704/184,352
  6. Step 6: Final answer
    x = 876,832.42

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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.