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Finding the Third Proportional to 190,560 and 302,016

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Solution

The third proportional to 190,560 and 302,016 is: 478,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,560 : 302,016 = 302,016 : x
  2. Step 2: Convert to fraction form
    190,560/302,016 = 302,016/x
  3. Step 3: Cross multiply
    190,560x = 302,016 × 302,016
  4. Step 4: Simplify right side
    190,560x = 91,213,664,256
  5. Step 5: Solve for x
    x = 91,213,664,256/190,560
  6. Step 6: Final answer
    x = 478,661.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.