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Finding the Third Proportional to 208,180.88 and 455,539.88

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Solution

The third proportional to 208,180.88 and 455,539.88 is: 996,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180.88 : 455,539.88 = 455,539.88 : x
  2. Step 2: Convert to fraction form
    208,180.88/455,539.88 = 455,539.88/x
  3. Step 3: Cross multiply
    208,180.88x = 455,539.88 × 455,539.88
  4. Step 4: Simplify right side
    208,180.88x = 207,516,577,715.02
  5. Step 5: Solve for x
    x = 207,516,577,715.02/208,180.88
  6. Step 6: Final answer
    x = 996,809.04

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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.