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Finding the Third Proportional to 147,566 and 326,144

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Solution

The third proportional to 147,566 and 326,144 is: 720,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,566 : 326,144 = 326,144 : x
  2. Step 2: Convert to fraction form
    147,566/326,144 = 326,144/x
  3. Step 3: Cross multiply
    147,566x = 326,144 × 326,144
  4. Step 4: Simplify right side
    147,566x = 106,369,908,736
  5. Step 5: Solve for x
    x = 106,369,908,736/147,566
  6. Step 6: Final answer
    x = 720,829.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.