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Finding the Third Proportional to 172,485 and 237,515.63

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Solution

The third proportional to 172,485 and 237,515.63 is: 327,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,485 : 237,515.63 = 237,515.63 : x
  2. Step 2: Convert to fraction form
    172,485/237,515.63 = 237,515.63/x
  3. Step 3: Cross multiply
    172,485x = 237,515.63 × 237,515.63
  4. Step 4: Simplify right side
    172,485x = 56,413,672,119.14
  5. Step 5: Solve for x
    x = 56,413,672,119.14/172,485
  6. Step 6: Final answer
    x = 327,064.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.