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Finding the Third Proportional to 147,963 and 209,364

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Solution

The third proportional to 147,963 and 209,364 is: 296,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,963 : 209,364 = 209,364 : x
  2. Step 2: Convert to fraction form
    147,963/209,364 = 209,364/x
  3. Step 3: Cross multiply
    147,963x = 209,364 × 209,364
  4. Step 4: Simplify right side
    147,963x = 43,833,284,496
  5. Step 5: Solve for x
    x = 43,833,284,496/147,963
  6. Step 6: Final answer
    x = 296,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.