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Finding the Third Proportional to 189,421 and 294,092

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Solution

The third proportional to 189,421 and 294,092 is: 456,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,421 : 294,092 = 294,092 : x
  2. Step 2: Convert to fraction form
    189,421/294,092 = 294,092/x
  3. Step 3: Cross multiply
    189,421x = 294,092 × 294,092
  4. Step 4: Simplify right side
    189,421x = 86,490,104,464
  5. Step 5: Solve for x
    x = 86,490,104,464/189,421
  6. Step 6: Final answer
    x = 456,602.51

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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.