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Finding the Third Proportional to 185,343 and 406,772

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Solution

The third proportional to 185,343 and 406,772 is: 892,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,343 : 406,772 = 406,772 : x
  2. Step 2: Convert to fraction form
    185,343/406,772 = 406,772/x
  3. Step 3: Cross multiply
    185,343x = 406,772 × 406,772
  4. Step 4: Simplify right side
    185,343x = 165,463,459,984
  5. Step 5: Solve for x
    x = 165,463,459,984/185,343
  6. Step 6: Final answer
    x = 892,741.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.