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Finding the Third Proportional to 190,742 and 414,258

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Solution

The third proportional to 190,742 and 414,258 is: 899,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,742 : 414,258 = 414,258 : x
  2. Step 2: Convert to fraction form
    190,742/414,258 = 414,258/x
  3. Step 3: Cross multiply
    190,742x = 414,258 × 414,258
  4. Step 4: Simplify right side
    190,742x = 171,609,690,564
  5. Step 5: Solve for x
    x = 171,609,690,564/190,742
  6. Step 6: Final answer
    x = 899,695.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.