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Finding the Third Proportional to 239,582.25 and 370,917

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Solution

The third proportional to 239,582.25 and 370,917 is: 574,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,582.25 : 370,917 = 370,917 : x
  2. Step 2: Convert to fraction form
    239,582.25/370,917 = 370,917/x
  3. Step 3: Cross multiply
    239,582.25x = 370,917 × 370,917
  4. Step 4: Simplify right side
    239,582.25x = 137,579,420,889
  5. Step 5: Solve for x
    x = 137,579,420,889/239,582.25
  6. Step 6: Final answer
    x = 574,247.14

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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.