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Finding the Third Proportional to 272,436 and 425,212.50

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Solution

The third proportional to 272,436 and 425,212.50 is: 663,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,436 : 425,212.50 = 425,212.50 : x
  2. Step 2: Convert to fraction form
    272,436/425,212.50 = 425,212.50/x
  3. Step 3: Cross multiply
    272,436x = 425,212.50 × 425,212.50
  4. Step 4: Simplify right side
    272,436x = 180,805,670,156.25
  5. Step 5: Solve for x
    x = 180,805,670,156.25/272,436
  6. Step 6: Final answer
    x = 663,662.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.