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Finding the Third Proportional to 185,051 and 398,911

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Solution

The third proportional to 185,051 and 398,911 is: 859,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,051 : 398,911 = 398,911 : x
  2. Step 2: Convert to fraction form
    185,051/398,911 = 398,911/x
  3. Step 3: Cross multiply
    185,051x = 398,911 × 398,911
  4. Step 4: Simplify right side
    185,051x = 159,129,985,921
  5. Step 5: Solve for x
    x = 159,129,985,921/185,051
  6. Step 6: Final answer
    x = 859,925.03

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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.