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Finding the Third Proportional to 191,396 and 293,790

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Solution

The third proportional to 191,396 and 293,790 is: 450,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,396 : 293,790 = 293,790 : x
  2. Step 2: Convert to fraction form
    191,396/293,790 = 293,790/x
  3. Step 3: Cross multiply
    191,396x = 293,790 × 293,790
  4. Step 4: Simplify right side
    191,396x = 86,312,564,100
  5. Step 5: Solve for x
    x = 86,312,564,100/191,396
  6. Step 6: Final answer
    x = 450,963.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.