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Finding the Third Proportional to 158,600 and 245,460

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Solution

The third proportional to 158,600 and 245,460 is: 379,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,600 : 245,460 = 245,460 : x
  2. Step 2: Convert to fraction form
    158,600/245,460 = 245,460/x
  3. Step 3: Cross multiply
    158,600x = 245,460 × 245,460
  4. Step 4: Simplify right side
    158,600x = 60,250,611,600
  5. Step 5: Solve for x
    x = 60,250,611,600/158,600
  6. Step 6: Final answer
    x = 379,890.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.