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Finding the Third Proportional to 208,970 and 313,960

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Solution

The third proportional to 208,970 and 313,960 is: 471,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970 : 313,960 = 313,960 : x
  2. Step 2: Convert to fraction form
    208,970/313,960 = 313,960/x
  3. Step 3: Cross multiply
    208,970x = 313,960 × 313,960
  4. Step 4: Simplify right side
    208,970x = 98,570,881,600
  5. Step 5: Solve for x
    x = 98,570,881,600/208,970
  6. Step 6: Final answer
    x = 471,698.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.