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Finding the Third Proportional to 265,360.50 and 397,068.75

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Solution

The third proportional to 265,360.50 and 397,068.75 is: 594,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,360.50 : 397,068.75 = 397,068.75 : x
  2. Step 2: Convert to fraction form
    265,360.50/397,068.75 = 397,068.75/x
  3. Step 3: Cross multiply
    265,360.50x = 397,068.75 × 397,068.75
  4. Step 4: Simplify right side
    265,360.50x = 157,663,592,226.56
  5. Step 5: Solve for x
    x = 157,663,592,226.56/265,360.50
  6. Step 6: Final answer
    x = 594,148.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.