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Finding the Third Proportional to 158,564 and 246,310

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Solution

The third proportional to 158,564 and 246,310 is: 382,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,564 : 246,310 = 246,310 : x
  2. Step 2: Convert to fraction form
    158,564/246,310 = 246,310/x
  3. Step 3: Cross multiply
    158,564x = 246,310 × 246,310
  4. Step 4: Simplify right side
    158,564x = 60,668,616,100
  5. Step 5: Solve for x
    x = 60,668,616,100/158,564
  6. Step 6: Final answer
    x = 382,612.80

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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.