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Finding the Third Proportional to 144,244 and 314,732

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Solution

The third proportional to 144,244 and 314,732 is: 686,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,244 : 314,732 = 314,732 : x
  2. Step 2: Convert to fraction form
    144,244/314,732 = 314,732/x
  3. Step 3: Cross multiply
    144,244x = 314,732 × 314,732
  4. Step 4: Simplify right side
    144,244x = 99,056,231,824
  5. Step 5: Solve for x
    x = 99,056,231,824/144,244
  6. Step 6: Final answer
    x = 686,726.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.