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Finding the Third Proportional to 184,378.50 and 402,129

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Solution

The third proportional to 184,378.50 and 402,129 is: 877,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,378.50 : 402,129 = 402,129 : x
  2. Step 2: Convert to fraction form
    184,378.50/402,129 = 402,129/x
  3. Step 3: Cross multiply
    184,378.50x = 402,129 × 402,129
  4. Step 4: Simplify right side
    184,378.50x = 161,707,732,641
  5. Step 5: Solve for x
    x = 161,707,732,641/184,378.50
  6. Step 6: Final answer
    x = 877,042.24

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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.