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Finding the Third Proportional to 162,472.50 and 379,614

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Solution

The third proportional to 162,472.50 and 379,614 is: 886,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,472.50 : 379,614 = 379,614 : x
  2. Step 2: Convert to fraction form
    162,472.50/379,614 = 379,614/x
  3. Step 3: Cross multiply
    162,472.50x = 379,614 × 379,614
  4. Step 4: Simplify right side
    162,472.50x = 144,106,788,996
  5. Step 5: Solve for x
    x = 144,106,788,996/162,472.50
  6. Step 6: Final answer
    x = 886,961.11

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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.