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Finding the Third Proportional to 196,254 and 302,022

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Solution

The third proportional to 196,254 and 302,022 is: 464,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,254 : 302,022 = 302,022 : x
  2. Step 2: Convert to fraction form
    196,254/302,022 = 302,022/x
  3. Step 3: Cross multiply
    196,254x = 302,022 × 302,022
  4. Step 4: Simplify right side
    196,254x = 91,217,288,484
  5. Step 5: Solve for x
    x = 91,217,288,484/196,254
  6. Step 6: Final answer
    x = 464,792.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.