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Finding the Third Proportional to 175,820.63 and 272,418.75

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Solution

The third proportional to 175,820.63 and 272,418.75 is: 422,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,820.63 : 272,418.75 = 272,418.75 : x
  2. Step 2: Convert to fraction form
    175,820.63/272,418.75 = 272,418.75/x
  3. Step 3: Cross multiply
    175,820.63x = 272,418.75 × 272,418.75
  4. Step 4: Simplify right side
    175,820.63x = 74,211,975,351.56
  5. Step 5: Solve for x
    x = 74,211,975,351.56/175,820.63
  6. Step 6: Final answer
    x = 422,089.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.