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Finding the Third Proportional to 172,064 and 369,046.50

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Solution

The third proportional to 172,064 and 369,046.50 is: 791,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,064 : 369,046.50 = 369,046.50 : x
  2. Step 2: Convert to fraction form
    172,064/369,046.50 = 369,046.50/x
  3. Step 3: Cross multiply
    172,064x = 369,046.50 × 369,046.50
  4. Step 4: Simplify right side
    172,064x = 136,195,319,162.25
  5. Step 5: Solve for x
    x = 136,195,319,162.25/172,064
  6. Step 6: Final answer
    x = 791,538.72

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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.