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Finding the Third Proportional to 201,896 and 293,444

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Solution

The third proportional to 201,896 and 293,444 is: 426,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,896 : 293,444 = 293,444 : x
  2. Step 2: Convert to fraction form
    201,896/293,444 = 293,444/x
  3. Step 3: Cross multiply
    201,896x = 293,444 × 293,444
  4. Step 4: Simplify right side
    201,896x = 86,109,381,136
  5. Step 5: Solve for x
    x = 86,109,381,136/201,896
  6. Step 6: Final answer
    x = 426,503.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.