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Finding the Third Proportional to 172,084.50 and 369,073.13

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Solution

The third proportional to 172,084.50 and 369,073.13 is: 791,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,084.50 : 369,073.13 = 369,073.13 : x
  2. Step 2: Convert to fraction form
    172,084.50/369,073.13 = 369,073.13/x
  3. Step 3: Cross multiply
    172,084.50x = 369,073.13 × 369,073.13
  4. Step 4: Simplify right side
    172,084.50x = 136,214,971,597.27
  5. Step 5: Solve for x
    x = 136,214,971,597.27/172,084.50
  6. Step 6: Final answer
    x = 791,558.63

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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.