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Finding the Third Proportional to 183,714 and 432,016

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Solution

The third proportional to 183,714 and 432,016 is: 1,015,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,714 : 432,016 = 432,016 : x
  2. Step 2: Convert to fraction form
    183,714/432,016 = 432,016/x
  3. Step 3: Cross multiply
    183,714x = 432,016 × 432,016
  4. Step 4: Simplify right side
    183,714x = 186,637,824,256
  5. Step 5: Solve for x
    x = 186,637,824,256/183,714
  6. Step 6: Final answer
    x = 1,015,915.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.