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Finding the Third Proportional to 196,030 and 288,302

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Solution

The third proportional to 196,030 and 288,302 is: 424,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,030 : 288,302 = 288,302 : x
  2. Step 2: Convert to fraction form
    196,030/288,302 = 288,302/x
  3. Step 3: Cross multiply
    196,030x = 288,302 × 288,302
  4. Step 4: Simplify right side
    196,030x = 83,118,043,204
  5. Step 5: Solve for x
    x = 83,118,043,204/196,030
  6. Step 6: Final answer
    x = 424,006.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.