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Finding the Third Proportional to 172,941.75 and 233,160.75

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Solution

The third proportional to 172,941.75 and 233,160.75 is: 314,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,941.75 : 233,160.75 = 233,160.75 : x
  2. Step 2: Convert to fraction form
    172,941.75/233,160.75 = 233,160.75/x
  3. Step 3: Cross multiply
    172,941.75x = 233,160.75 × 233,160.75
  4. Step 4: Simplify right side
    172,941.75x = 54,363,935,340.56
  5. Step 5: Solve for x
    x = 54,363,935,340.56/172,941.75
  6. Step 6: Final answer
    x = 314,348.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.