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Finding the Third Proportional to 167,896 and 253,461

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Solution

The third proportional to 167,896 and 253,461 is: 382,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,896 : 253,461 = 253,461 : x
  2. Step 2: Convert to fraction form
    167,896/253,461 = 253,461/x
  3. Step 3: Cross multiply
    167,896x = 253,461 × 253,461
  4. Step 4: Simplify right side
    167,896x = 64,242,478,521
  5. Step 5: Solve for x
    x = 64,242,478,521/167,896
  6. Step 6: Final answer
    x = 382,632.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.