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Finding the Third Proportional to 171,765 and 237,341.25

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Solution

The third proportional to 171,765 and 237,341.25 is: 327,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,765 : 237,341.25 = 237,341.25 : x
  2. Step 2: Convert to fraction form
    171,765/237,341.25 = 237,341.25/x
  3. Step 3: Cross multiply
    171,765x = 237,341.25 × 237,341.25
  4. Step 4: Simplify right side
    171,765x = 56,330,868,951.56
  5. Step 5: Solve for x
    x = 56,330,868,951.56/171,765
  6. Step 6: Final answer
    x = 327,953.13

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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.