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Finding the Third Proportional to 184,369.50 and 390,339

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Solution

The third proportional to 184,369.50 and 390,339 is: 826,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,369.50 : 390,339 = 390,339 : x
  2. Step 2: Convert to fraction form
    184,369.50/390,339 = 390,339/x
  3. Step 3: Cross multiply
    184,369.50x = 390,339 × 390,339
  4. Step 4: Simplify right side
    184,369.50x = 152,364,534,921
  5. Step 5: Solve for x
    x = 152,364,534,921/184,369.50
  6. Step 6: Final answer
    x = 826,408.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.