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Finding the Third Proportional to 134,184 and 289,388.25

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Solution

The third proportional to 134,184 and 289,388.25 is: 624,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,184 : 289,388.25 = 289,388.25 : x
  2. Step 2: Convert to fraction form
    134,184/289,388.25 = 289,388.25/x
  3. Step 3: Cross multiply
    134,184x = 289,388.25 × 289,388.25
  4. Step 4: Simplify right side
    134,184x = 83,745,559,238.06
  5. Step 5: Solve for x
    x = 83,745,559,238.06/134,184
  6. Step 6: Final answer
    x = 624,109.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.