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Finding the Third Proportional to 144,448 and 322,088

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Solution

The third proportional to 144,448 and 322,088 is: 718,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,448 : 322,088 = 322,088 : x
  2. Step 2: Convert to fraction form
    144,448/322,088 = 322,088/x
  3. Step 3: Cross multiply
    144,448x = 322,088 × 322,088
  4. Step 4: Simplify right side
    144,448x = 103,740,679,744
  5. Step 5: Solve for x
    x = 103,740,679,744/144,448
  6. Step 6: Final answer
    x = 718,187.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.