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Finding the Third Proportional to 174,309.75 and 235,226.25

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Solution

The third proportional to 174,309.75 and 235,226.25 is: 317,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,309.75 : 235,226.25 = 235,226.25 : x
  2. Step 2: Convert to fraction form
    174,309.75/235,226.25 = 235,226.25/x
  3. Step 3: Cross multiply
    174,309.75x = 235,226.25 × 235,226.25
  4. Step 4: Simplify right side
    174,309.75x = 55,331,388,689.06
  5. Step 5: Solve for x
    x = 55,331,388,689.06/174,309.75
  6. Step 6: Final answer
    x = 317,431.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.