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Finding the Third Proportional to 178,896 and 369,136

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Solution

The third proportional to 178,896 and 369,136 is: 761,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,896 : 369,136 = 369,136 : x
  2. Step 2: Convert to fraction form
    178,896/369,136 = 369,136/x
  3. Step 3: Cross multiply
    178,896x = 369,136 × 369,136
  4. Step 4: Simplify right side
    178,896x = 136,261,386,496
  5. Step 5: Solve for x
    x = 136,261,386,496/178,896
  6. Step 6: Final answer
    x = 761,679.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.