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Finding the Third Proportional to 162,944 and 238,583

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Solution

The third proportional to 162,944 and 238,583 is: 349,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,944 : 238,583 = 238,583 : x
  2. Step 2: Convert to fraction form
    162,944/238,583 = 238,583/x
  3. Step 3: Cross multiply
    162,944x = 238,583 × 238,583
  4. Step 4: Simplify right side
    162,944x = 56,921,847,889
  5. Step 5: Solve for x
    x = 56,921,847,889/162,944
  6. Step 6: Final answer
    x = 349,333.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.