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Finding the Third Proportional to 201,738 and 293,148

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Solution

The third proportional to 201,738 and 293,148 is: 425,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,738 : 293,148 = 293,148 : x
  2. Step 2: Convert to fraction form
    201,738/293,148 = 293,148/x
  3. Step 3: Cross multiply
    201,738x = 293,148 × 293,148
  4. Step 4: Simplify right side
    201,738x = 85,935,749,904
  5. Step 5: Solve for x
    x = 85,935,749,904/201,738
  6. Step 6: Final answer
    x = 425,977.01

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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.