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Finding the Third Proportional to 172,179 and 364,810.50

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Solution

The third proportional to 172,179 and 364,810.50 is: 772,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,179 : 364,810.50 = 364,810.50 : x
  2. Step 2: Convert to fraction form
    172,179/364,810.50 = 364,810.50/x
  3. Step 3: Cross multiply
    172,179x = 364,810.50 × 364,810.50
  4. Step 4: Simplify right side
    172,179x = 133,086,700,910.25
  5. Step 5: Solve for x
    x = 133,086,700,910.25/172,179
  6. Step 6: Final answer
    x = 772,955.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.