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Finding the Third Proportional to 201,478 and 296,648

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Solution

The third proportional to 201,478 and 296,648 is: 436,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,478 : 296,648 = 296,648 : x
  2. Step 2: Convert to fraction form
    201,478/296,648 = 296,648/x
  3. Step 3: Cross multiply
    201,478x = 296,648 × 296,648
  4. Step 4: Simplify right side
    201,478x = 88,000,035,904
  5. Step 5: Solve for x
    x = 88,000,035,904/201,478
  6. Step 6: Final answer
    x = 436,772.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.