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Finding the Third Proportional to 174,909.75 and 270,094.50

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Solution

The third proportional to 174,909.75 and 270,094.50 is: 417,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,909.75 : 270,094.50 = 270,094.50 : x
  2. Step 2: Convert to fraction form
    174,909.75/270,094.50 = 270,094.50/x
  3. Step 3: Cross multiply
    174,909.75x = 270,094.50 × 270,094.50
  4. Step 4: Simplify right side
    174,909.75x = 72,951,038,930.25
  5. Step 5: Solve for x
    x = 72,951,038,930.25/174,909.75
  6. Step 6: Final answer
    x = 417,078.17

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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.