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Finding the Third Proportional to 184,254 and 390,649

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Solution

The third proportional to 184,254 and 390,649 is: 828,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,254 : 390,649 = 390,649 : x
  2. Step 2: Convert to fraction form
    184,254/390,649 = 390,649/x
  3. Step 3: Cross multiply
    184,254x = 390,649 × 390,649
  4. Step 4: Simplify right side
    184,254x = 152,606,641,201
  5. Step 5: Solve for x
    x = 152,606,641,201/184,254
  6. Step 6: Final answer
    x = 828,240.59

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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.