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Finding the Third Proportional to 172,608 and 233,205

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Solution

The third proportional to 172,608 and 233,205 is: 315,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,608 : 233,205 = 233,205 : x
  2. Step 2: Convert to fraction form
    172,608/233,205 = 233,205/x
  3. Step 3: Cross multiply
    172,608x = 233,205 × 233,205
  4. Step 4: Simplify right side
    172,608x = 54,384,572,025
  5. Step 5: Solve for x
    x = 54,384,572,025/172,608
  6. Step 6: Final answer
    x = 315,075.62

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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.