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Finding the Third Proportional to 157,653 and 226,638

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Solution

The third proportional to 157,653 and 226,638 is: 325,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653 : 226,638 = 226,638 : x
  2. Step 2: Convert to fraction form
    157,653/226,638 = 226,638/x
  3. Step 3: Cross multiply
    157,653x = 226,638 × 226,638
  4. Step 4: Simplify right side
    157,653x = 51,364,783,044
  5. Step 5: Solve for x
    x = 51,364,783,044/157,653
  6. Step 6: Final answer
    x = 325,809.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.