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Finding the Third Proportional to 189,673 and 293,670

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Solution

The third proportional to 189,673 and 293,670 is: 454,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,673 : 293,670 = 293,670 : x
  2. Step 2: Convert to fraction form
    189,673/293,670 = 293,670/x
  3. Step 3: Cross multiply
    189,673x = 293,670 × 293,670
  4. Step 4: Simplify right side
    189,673x = 86,242,068,900
  5. Step 5: Solve for x
    x = 86,242,068,900/189,673
  6. Step 6: Final answer
    x = 454,688.17

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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.