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Finding the Third Proportional to 184,385.74 and 402,282.70

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Solution

The third proportional to 184,385.74 and 402,282.70 is: 877,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,385.74 : 402,282.70 = 402,282.70 : x
  2. Step 2: Convert to fraction form
    184,385.74/402,282.70 = 402,282.70/x
  3. Step 3: Cross multiply
    184,385.74x = 402,282.70 × 402,282.70
  4. Step 4: Simplify right side
    184,385.74x = 161,831,373,233.56
  5. Step 5: Solve for x
    x = 161,831,373,233.56/184,385.74
  6. Step 6: Final answer
    x = 877,678.35

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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.