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Finding the Third Proportional to 172,237.50 and 369,388.50

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Solution

The third proportional to 172,237.50 and 369,388.50 is: 792,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,237.50 : 369,388.50 = 369,388.50 : x
  2. Step 2: Convert to fraction form
    172,237.50/369,388.50 = 369,388.50/x
  3. Step 3: Cross multiply
    172,237.50x = 369,388.50 × 369,388.50
  4. Step 4: Simplify right side
    172,237.50x = 136,447,863,932.25
  5. Step 5: Solve for x
    x = 136,447,863,932.25/172,237.50
  6. Step 6: Final answer
    x = 792,207.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.