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Finding the Third Proportional to 162,064 and 245,333

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Solution

The third proportional to 162,064 and 245,333 is: 371,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,064 : 245,333 = 245,333 : x
  2. Step 2: Convert to fraction form
    162,064/245,333 = 245,333/x
  3. Step 3: Cross multiply
    162,064x = 245,333 × 245,333
  4. Step 4: Simplify right side
    162,064x = 60,188,280,889
  5. Step 5: Solve for x
    x = 60,188,280,889/162,064
  6. Step 6: Final answer
    x = 371,385.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.