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Finding the Third Proportional to 208,666.13 and 283,434.19

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Solution

The third proportional to 208,666.13 and 283,434.19 is: 384,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.13 : 283,434.19 = 283,434.19 : x
  2. Step 2: Convert to fraction form
    208,666.13/283,434.19 = 283,434.19/x
  3. Step 3: Cross multiply
    208,666.13x = 283,434.19 × 283,434.19
  4. Step 4: Simplify right side
    208,666.13x = 80,334,938,643.79
  5. Step 5: Solve for x
    x = 80,334,938,643.79/208,666.13
  6. Step 6: Final answer
    x = 384,992.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.