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Finding the Third Proportional to 184,730 and 398,932

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Solution

The third proportional to 184,730 and 398,932 is: 861,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,730 : 398,932 = 398,932 : x
  2. Step 2: Convert to fraction form
    184,730/398,932 = 398,932/x
  3. Step 3: Cross multiply
    184,730x = 398,932 × 398,932
  4. Step 4: Simplify right side
    184,730x = 159,146,740,624
  5. Step 5: Solve for x
    x = 159,146,740,624/184,730
  6. Step 6: Final answer
    x = 861,509.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.