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Finding the Third Proportional to 208,086.75 and 454,695.75

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Solution

The third proportional to 208,086.75 and 454,695.75 is: 993,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.75 : 454,695.75 = 454,695.75 : x
  2. Step 2: Convert to fraction form
    208,086.75/454,695.75 = 454,695.75/x
  3. Step 3: Cross multiply
    208,086.75x = 454,695.75 × 454,695.75
  4. Step 4: Simplify right side
    208,086.75x = 206,748,225,068.06
  5. Step 5: Solve for x
    x = 206,748,225,068.06/208,086.75
  6. Step 6: Final answer
    x = 993,567.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.