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Finding the Third Proportional to 175,066.88 and 270,364.50

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Solution

The third proportional to 175,066.88 and 270,364.50 is: 417,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,066.88 : 270,364.50 = 270,364.50 : x
  2. Step 2: Convert to fraction form
    175,066.88/270,364.50 = 270,364.50/x
  3. Step 3: Cross multiply
    175,066.88x = 270,364.50 × 270,364.50
  4. Step 4: Simplify right side
    175,066.88x = 73,096,962,860.25
  5. Step 5: Solve for x
    x = 73,096,962,860.25/175,066.88
  6. Step 6: Final answer
    x = 417,537.37

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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.