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Finding the Third Proportional to 208,928 and 318,585

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Solution

The third proportional to 208,928 and 318,585 is: 485,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,928 : 318,585 = 318,585 : x
  2. Step 2: Convert to fraction form
    208,928/318,585 = 318,585/x
  3. Step 3: Cross multiply
    208,928x = 318,585 × 318,585
  4. Step 4: Simplify right side
    208,928x = 101,496,402,225
  5. Step 5: Solve for x
    x = 101,496,402,225/208,928
  6. Step 6: Final answer
    x = 485,796.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.