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Finding the Third Proportional to 189,140 and 293,268

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Solution

The third proportional to 189,140 and 293,268 is: 454,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,140 : 293,268 = 293,268 : x
  2. Step 2: Convert to fraction form
    189,140/293,268 = 293,268/x
  3. Step 3: Cross multiply
    189,140x = 293,268 × 293,268
  4. Step 4: Simplify right side
    189,140x = 86,006,119,824
  5. Step 5: Solve for x
    x = 86,006,119,824/189,140
  6. Step 6: Final answer
    x = 454,722.00

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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.