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Finding the Third Proportional to 174,916.50 and 270,103.50

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Solution

The third proportional to 174,916.50 and 270,103.50 is: 417,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,916.50 : 270,103.50 = 270,103.50 : x
  2. Step 2: Convert to fraction form
    174,916.50/270,103.50 = 270,103.50/x
  3. Step 3: Cross multiply
    174,916.50x = 270,103.50 × 270,103.50
  4. Step 4: Simplify right side
    174,916.50x = 72,955,900,712.25
  5. Step 5: Solve for x
    x = 72,955,900,712.25/174,916.50
  6. Step 6: Final answer
    x = 417,089.87

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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.