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Finding the Third Proportional to 144,569 and 313,272

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Solution

The third proportional to 144,569 and 313,272 is: 678,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,569 : 313,272 = 313,272 : x
  2. Step 2: Convert to fraction form
    144,569/313,272 = 313,272/x
  3. Step 3: Cross multiply
    144,569x = 313,272 × 313,272
  4. Step 4: Simplify right side
    144,569x = 98,139,345,984
  5. Step 5: Solve for x
    x = 98,139,345,984/144,569
  6. Step 6: Final answer
    x = 678,840.87

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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.