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Finding the Third Proportional to 208,507.13 and 455,246.91

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Solution

The third proportional to 208,507.13 and 455,246.91 is: 993,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.13 : 455,246.91 = 455,246.91 : x
  2. Step 2: Convert to fraction form
    208,507.13/455,246.91 = 455,246.91/x
  3. Step 3: Cross multiply
    208,507.13x = 455,246.91 × 455,246.91
  4. Step 4: Simplify right side
    208,507.13x = 207,249,745,650.20
  5. Step 5: Solve for x
    x = 207,249,745,650.20/208,507.13
  6. Step 6: Final answer
    x = 993,969.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.