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Finding the Third Proportional to 201,859 and 293,392

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Solution

The third proportional to 201,859 and 293,392 is: 426,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859 : 293,392 = 293,392 : x
  2. Step 2: Convert to fraction form
    201,859/293,392 = 293,392/x
  3. Step 3: Cross multiply
    201,859x = 293,392 × 293,392
  4. Step 4: Simplify right side
    201,859x = 86,078,865,664
  5. Step 5: Solve for x
    x = 86,078,865,664/201,859
  6. Step 6: Final answer
    x = 426,430.66

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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.