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Finding the Third Proportional to 99,592.50 and 233,307

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Solution

The third proportional to 99,592.50 and 233,307 is: 546,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,592.50 : 233,307 = 233,307 : x
  2. Step 2: Convert to fraction form
    99,592.50/233,307 = 233,307/x
  3. Step 3: Cross multiply
    99,592.50x = 233,307 × 233,307
  4. Step 4: Simplify right side
    99,592.50x = 54,432,156,249
  5. Step 5: Solve for x
    x = 54,432,156,249/99,592.50
  6. Step 6: Final answer
    x = 546,548.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.