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Finding the Third Proportional to 175,743.75 and 266,080.25

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Solution

The third proportional to 175,743.75 and 266,080.25 is: 402,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,743.75 : 266,080.25 = 266,080.25 : x
  2. Step 2: Convert to fraction form
    175,743.75/266,080.25 = 266,080.25/x
  3. Step 3: Cross multiply
    175,743.75x = 266,080.25 × 266,080.25
  4. Step 4: Simplify right side
    175,743.75x = 70,798,699,440.06
  5. Step 5: Solve for x
    x = 70,798,699,440.06/175,743.75
  6. Step 6: Final answer
    x = 402,851.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.