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Finding the Third Proportional to 208,356.47 and 311,162.77

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Solution

The third proportional to 208,356.47 and 311,162.77 is: 464,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,356.47 : 311,162.77 = 311,162.77 : x
  2. Step 2: Convert to fraction form
    208,356.47/311,162.77 = 311,162.77/x
  3. Step 3: Cross multiply
    208,356.47x = 311,162.77 × 311,162.77
  4. Step 4: Simplify right side
    208,356.47x = 96,822,266,711.40
  5. Step 5: Solve for x
    x = 96,822,266,711.40/208,356.47
  6. Step 6: Final answer
    x = 464,695.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.