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Finding the Third Proportional to 162,968 and 356,560

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Solution

The third proportional to 162,968 and 356,560 is: 780,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,968 : 356,560 = 356,560 : x
  2. Step 2: Convert to fraction form
    162,968/356,560 = 356,560/x
  3. Step 3: Cross multiply
    162,968x = 356,560 × 356,560
  4. Step 4: Simplify right side
    162,968x = 127,135,033,600
  5. Step 5: Solve for x
    x = 127,135,033,600/162,968
  6. Step 6: Final answer
    x = 780,122.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.