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Finding the Third Proportional to 164,203 and 253,553

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Solution

The third proportional to 164,203 and 253,553 is: 391,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,203 : 253,553 = 253,553 : x
  2. Step 2: Convert to fraction form
    164,203/253,553 = 253,553/x
  3. Step 3: Cross multiply
    164,203x = 253,553 × 253,553
  4. Step 4: Simplify right side
    164,203x = 64,289,123,809
  5. Step 5: Solve for x
    x = 64,289,123,809/164,203
  6. Step 6: Final answer
    x = 391,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.