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Finding the Third Proportional to 189,051 and 292,719

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Solution

The third proportional to 189,051 and 292,719 is: 453,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,051 : 292,719 = 292,719 : x
  2. Step 2: Convert to fraction form
    189,051/292,719 = 292,719/x
  3. Step 3: Cross multiply
    189,051x = 292,719 × 292,719
  4. Step 4: Simplify right side
    189,051x = 85,684,412,961
  5. Step 5: Solve for x
    x = 85,684,412,961/189,051
  6. Step 6: Final answer
    x = 453,234.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.