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Finding the Third Proportional to 201,920 and 295,536

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Solution

The third proportional to 201,920 and 295,536 is: 432,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920 : 295,536 = 295,536 : x
  2. Step 2: Convert to fraction form
    201,920/295,536 = 295,536/x
  3. Step 3: Cross multiply
    201,920x = 295,536 × 295,536
  4. Step 4: Simplify right side
    201,920x = 87,341,527,296
  5. Step 5: Solve for x
    x = 87,341,527,296/201,920
  6. Step 6: Final answer
    x = 432,555.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.