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Finding the Third Proportional to 147,244 and 320,264

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Solution

The third proportional to 147,244 and 320,264 is: 696,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,244 : 320,264 = 320,264 : x
  2. Step 2: Convert to fraction form
    147,244/320,264 = 320,264/x
  3. Step 3: Cross multiply
    147,244x = 320,264 × 320,264
  4. Step 4: Simplify right side
    147,244x = 102,569,029,696
  5. Step 5: Solve for x
    x = 102,569,029,696/147,244
  6. Step 6: Final answer
    x = 696,592.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.