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Finding the Third Proportional to 133,446 and 293,133

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Solution

The third proportional to 133,446 and 293,133 is: 643,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,446 : 293,133 = 293,133 : x
  2. Step 2: Convert to fraction form
    133,446/293,133 = 293,133/x
  3. Step 3: Cross multiply
    133,446x = 293,133 × 293,133
  4. Step 4: Simplify right side
    133,446x = 85,926,955,689
  5. Step 5: Solve for x
    x = 85,926,955,689/133,446
  6. Step 6: Final answer
    x = 643,908.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.