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Finding the Third Proportional to 145,784 and 320,104

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Solution

The third proportional to 145,784 and 320,104 is: 702,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,784 : 320,104 = 320,104 : x
  2. Step 2: Convert to fraction form
    145,784/320,104 = 320,104/x
  3. Step 3: Cross multiply
    145,784x = 320,104 × 320,104
  4. Step 4: Simplify right side
    145,784x = 102,466,570,816
  5. Step 5: Solve for x
    x = 102,466,570,816/145,784
  6. Step 6: Final answer
    x = 702,865.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.