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Finding the Third Proportional to 144,000 and 314,001

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Solution

The third proportional to 144,000 and 314,001 is: 684,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000 : 314,001 = 314,001 : x
  2. Step 2: Convert to fraction form
    144,000/314,001 = 314,001/x
  3. Step 3: Cross multiply
    144,000x = 314,001 × 314,001
  4. Step 4: Simplify right side
    144,000x = 98,596,628,001
  5. Step 5: Solve for x
    x = 98,596,628,001/144,000
  6. Step 6: Final answer
    x = 684,698.81

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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.