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Finding the Third Proportional to 185,946 and 382,896

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Solution

The third proportional to 185,946 and 382,896 is: 788,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946 : 382,896 = 382,896 : x
  2. Step 2: Convert to fraction form
    185,946/382,896 = 382,896/x
  3. Step 3: Cross multiply
    185,946x = 382,896 × 382,896
  4. Step 4: Simplify right side
    185,946x = 146,609,346,816
  5. Step 5: Solve for x
    x = 146,609,346,816/185,946
  6. Step 6: Final answer
    x = 788,451.20

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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.