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Finding the Third Proportional to 189,066 and 292,894

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Solution

The third proportional to 189,066 and 292,894 is: 453,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,066 : 292,894 = 292,894 : x
  2. Step 2: Convert to fraction form
    189,066/292,894 = 292,894/x
  3. Step 3: Cross multiply
    189,066x = 292,894 × 292,894
  4. Step 4: Simplify right side
    189,066x = 85,786,895,236
  5. Step 5: Solve for x
    x = 85,786,895,236/189,066
  6. Step 6: Final answer
    x = 453,740.47

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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.