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Finding the Third Proportional to 64,584 and 144,288

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Solution

The third proportional to 64,584 and 144,288 is: 322,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,584 : 144,288 = 144,288 : x
  2. Step 2: Convert to fraction form
    64,584/144,288 = 144,288/x
  3. Step 3: Cross multiply
    64,584x = 144,288 × 144,288
  4. Step 4: Simplify right side
    64,584x = 20,819,026,944
  5. Step 5: Solve for x
    x = 20,819,026,944/64,584
  6. Step 6: Final answer
    x = 322,355.80

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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.