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Finding the Third Proportional to 145,254 and 200,022

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Solution

The third proportional to 145,254 and 200,022 is: 275,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,254 : 200,022 = 200,022 : x
  2. Step 2: Convert to fraction form
    145,254/200,022 = 200,022/x
  3. Step 3: Cross multiply
    145,254x = 200,022 × 200,022
  4. Step 4: Simplify right side
    145,254x = 40,008,800,484
  5. Step 5: Solve for x
    x = 40,008,800,484/145,254
  6. Step 6: Final answer
    x = 275,440.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.