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Finding the Third Proportional to 144,897.75 and 314,747.25

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Solution

The third proportional to 144,897.75 and 314,747.25 is: 683,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,897.75 : 314,747.25 = 314,747.25 : x
  2. Step 2: Convert to fraction form
    144,897.75/314,747.25 = 314,747.25/x
  3. Step 3: Cross multiply
    144,897.75x = 314,747.25 × 314,747.25
  4. Step 4: Simplify right side
    144,897.75x = 99,065,831,382.56
  5. Step 5: Solve for x
    x = 99,065,831,382.56/144,897.75
  6. Step 6: Final answer
    x = 683,694.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.