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Finding the Third Proportional to 172,461 and 257,629.50

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Solution

The third proportional to 172,461 and 257,629.50 is: 384,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,461 : 257,629.50 = 257,629.50 : x
  2. Step 2: Convert to fraction form
    172,461/257,629.50 = 257,629.50/x
  3. Step 3: Cross multiply
    172,461x = 257,629.50 × 257,629.50
  4. Step 4: Simplify right side
    172,461x = 66,372,959,270.25
  5. Step 5: Solve for x
    x = 66,372,959,270.25/172,461
  6. Step 6: Final answer
    x = 384,857.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.