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Finding the Third Proportional to 172,314 and 257,438.25

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Solution

The third proportional to 172,314 and 257,438.25 is: 384,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,314 : 257,438.25 = 257,438.25 : x
  2. Step 2: Convert to fraction form
    172,314/257,438.25 = 257,438.25/x
  3. Step 3: Cross multiply
    172,314x = 257,438.25 × 257,438.25
  4. Step 4: Simplify right side
    172,314x = 66,274,452,563.06
  5. Step 5: Solve for x
    x = 66,274,452,563.06/172,314
  6. Step 6: Final answer
    x = 384,614.44

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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.