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Finding the Third Proportional to 159,108.75 and 233,307

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Solution

The third proportional to 159,108.75 and 233,307 is: 342,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,108.75 : 233,307 = 233,307 : x
  2. Step 2: Convert to fraction form
    159,108.75/233,307 = 233,307/x
  3. Step 3: Cross multiply
    159,108.75x = 233,307 × 233,307
  4. Step 4: Simplify right side
    159,108.75x = 54,432,156,249
  5. Step 5: Solve for x
    x = 54,432,156,249/159,108.75
  6. Step 6: Final answer
    x = 342,106.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.