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Finding the Third Proportional to 245,608.50 and 369,324

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Solution

The third proportional to 245,608.50 and 369,324 is: 555,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,608.50 : 369,324 = 369,324 : x
  2. Step 2: Convert to fraction form
    245,608.50/369,324 = 369,324/x
  3. Step 3: Cross multiply
    245,608.50x = 369,324 × 369,324
  4. Step 4: Simplify right side
    245,608.50x = 136,400,216,976
  5. Step 5: Solve for x
    x = 136,400,216,976/245,608.50
  6. Step 6: Final answer
    x = 555,356.26

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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.