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Finding the Third Proportional to 196,452 and 302,139

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Solution

The third proportional to 196,452 and 302,139 is: 464,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,452 : 302,139 = 302,139 : x
  2. Step 2: Convert to fraction form
    196,452/302,139 = 302,139/x
  3. Step 3: Cross multiply
    196,452x = 302,139 × 302,139
  4. Step 4: Simplify right side
    196,452x = 91,287,975,321
  5. Step 5: Solve for x
    x = 91,287,975,321/196,452
  6. Step 6: Final answer
    x = 464,683.36

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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.