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Finding the Third Proportional to 208,076 and 313,970

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Solution

The third proportional to 208,076 and 313,970 is: 473,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,076 : 313,970 = 313,970 : x
  2. Step 2: Convert to fraction form
    208,076/313,970 = 313,970/x
  3. Step 3: Cross multiply
    208,076x = 313,970 × 313,970
  4. Step 4: Simplify right side
    208,076x = 98,577,160,900
  5. Step 5: Solve for x
    x = 98,577,160,900/208,076
  6. Step 6: Final answer
    x = 473,755.56

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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.