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Finding the Third Proportional to 184,251 and 390,646

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Solution

The third proportional to 184,251 and 390,646 is: 828,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,251 : 390,646 = 390,646 : x
  2. Step 2: Convert to fraction form
    184,251/390,646 = 390,646/x
  3. Step 3: Cross multiply
    184,251x = 390,646 × 390,646
  4. Step 4: Simplify right side
    184,251x = 152,604,297,316
  5. Step 5: Solve for x
    x = 152,604,297,316/184,251
  6. Step 6: Final answer
    x = 828,241.35

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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.