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Finding the Third Proportional to 162,912 and 238,540

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Solution

The third proportional to 162,912 and 238,540 is: 349,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912 : 238,540 = 238,540 : x
  2. Step 2: Convert to fraction form
    162,912/238,540 = 238,540/x
  3. Step 3: Cross multiply
    162,912x = 238,540 × 238,540
  4. Step 4: Simplify right side
    162,912x = 56,901,331,600
  5. Step 5: Solve for x
    x = 56,901,331,600/162,912
  6. Step 6: Final answer
    x = 349,276.49

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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.