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Finding the Third Proportional to 136,566 and 284,032

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Solution

The third proportional to 136,566 and 284,032 is: 590,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,566 : 284,032 = 284,032 : x
  2. Step 2: Convert to fraction form
    136,566/284,032 = 284,032/x
  3. Step 3: Cross multiply
    136,566x = 284,032 × 284,032
  4. Step 4: Simplify right side
    136,566x = 80,674,177,024
  5. Step 5: Solve for x
    x = 80,674,177,024/136,566
  6. Step 6: Final answer
    x = 590,733.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.