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Finding the Third Proportional to 238,975.50 and 521,427

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Solution

The third proportional to 238,975.50 and 521,427 is: 1,137,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,975.50 : 521,427 = 521,427 : x
  2. Step 2: Convert to fraction form
    238,975.50/521,427 = 521,427/x
  3. Step 3: Cross multiply
    238,975.50x = 521,427 × 521,427
  4. Step 4: Simplify right side
    238,975.50x = 271,886,116,329
  5. Step 5: Solve for x
    x = 271,886,116,329/238,975.50
  6. Step 6: Final answer
    x = 1,137,715.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.