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Finding the Third Proportional to 201,740 and 293,151

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Solution

The third proportional to 201,740 and 293,151 is: 425,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740 : 293,151 = 293,151 : x
  2. Step 2: Convert to fraction form
    201,740/293,151 = 293,151/x
  3. Step 3: Cross multiply
    201,740x = 293,151 × 293,151
  4. Step 4: Simplify right side
    201,740x = 85,937,508,801
  5. Step 5: Solve for x
    x = 85,937,508,801/201,740
  6. Step 6: Final answer
    x = 425,981.50

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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.