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Finding the Third Proportional to 172,604 and 369,197.50

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Solution

The third proportional to 172,604 and 369,197.50 is: 789,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,604 : 369,197.50 = 369,197.50 : x
  2. Step 2: Convert to fraction form
    172,604/369,197.50 = 369,197.50/x
  3. Step 3: Cross multiply
    172,604x = 369,197.50 × 369,197.50
  4. Step 4: Simplify right side
    172,604x = 136,306,794,006.25
  5. Step 5: Solve for x
    x = 136,306,794,006.25/172,604
  6. Step 6: Final answer
    x = 789,708.20

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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.