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Finding the Third Proportional to 180,716 and 386,344

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Solution

The third proportional to 180,716 and 386,344 is: 825,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,716 : 386,344 = 386,344 : x
  2. Step 2: Convert to fraction form
    180,716/386,344 = 386,344/x
  3. Step 3: Cross multiply
    180,716x = 386,344 × 386,344
  4. Step 4: Simplify right side
    180,716x = 149,261,686,336
  5. Step 5: Solve for x
    x = 149,261,686,336/180,716
  6. Step 6: Final answer
    x = 825,946.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.