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Finding the Third Proportional to 130,566 and 198,576

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Solution

The third proportional to 130,566 and 198,576 is: 302,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,566 : 198,576 = 198,576 : x
  2. Step 2: Convert to fraction form
    130,566/198,576 = 198,576/x
  3. Step 3: Cross multiply
    130,566x = 198,576 × 198,576
  4. Step 4: Simplify right side
    130,566x = 39,432,427,776
  5. Step 5: Solve for x
    x = 39,432,427,776/130,566
  6. Step 6: Final answer
    x = 302,011.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.