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Finding the Third Proportional to 175,028.63 and 270,316.69

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Solution

The third proportional to 175,028.63 and 270,316.69 is: 417,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,028.63 : 270,316.69 = 270,316.69 : x
  2. Step 2: Convert to fraction form
    175,028.63/270,316.69 = 270,316.69/x
  3. Step 3: Cross multiply
    175,028.63x = 270,316.69 × 270,316.69
  4. Step 4: Simplify right side
    175,028.63x = 73,071,111,540.97
  5. Step 5: Solve for x
    x = 73,071,111,540.97/175,028.63
  6. Step 6: Final answer
    x = 417,480.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.