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Finding the Third Proportional to 208,026 and 313,506

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Solution

The third proportional to 208,026 and 313,506 is: 472,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026 : 313,506 = 313,506 : x
  2. Step 2: Convert to fraction form
    208,026/313,506 = 313,506/x
  3. Step 3: Cross multiply
    208,026x = 313,506 × 313,506
  4. Step 4: Simplify right side
    208,026x = 98,286,012,036
  5. Step 5: Solve for x
    x = 98,286,012,036/208,026
  6. Step 6: Final answer
    x = 472,469.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.