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Finding the Third Proportional to 144,900.75 and 314,751

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Solution

The third proportional to 144,900.75 and 314,751 is: 683,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,900.75 : 314,751 = 314,751 : x
  2. Step 2: Convert to fraction form
    144,900.75/314,751 = 314,751/x
  3. Step 3: Cross multiply
    144,900.75x = 314,751 × 314,751
  4. Step 4: Simplify right side
    144,900.75x = 99,068,192,001
  5. Step 5: Solve for x
    x = 99,068,192,001/144,900.75
  6. Step 6: Final answer
    x = 683,696.89

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