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Finding the Third Proportional to 155,159.25 and 208,095.75

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Solution

The third proportional to 155,159.25 and 208,095.75 is: 279,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,159.25 : 208,095.75 = 208,095.75 : x
  2. Step 2: Convert to fraction form
    155,159.25/208,095.75 = 208,095.75/x
  3. Step 3: Cross multiply
    155,159.25x = 208,095.75 × 208,095.75
  4. Step 4: Simplify right side
    155,159.25x = 43,303,841,168.06
  5. Step 5: Solve for x
    x = 43,303,841,168.06/155,159.25
  6. Step 6: Final answer
    x = 279,092.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.