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Finding the Third Proportional to 195,770 and 375,984

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Solution

The third proportional to 195,770 and 375,984 is: 722,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,770 : 375,984 = 375,984 : x
  2. Step 2: Convert to fraction form
    195,770/375,984 = 375,984/x
  3. Step 3: Cross multiply
    195,770x = 375,984 × 375,984
  4. Step 4: Simplify right side
    195,770x = 141,363,968,256
  5. Step 5: Solve for x
    x = 141,363,968,256/195,770
  6. Step 6: Final answer
    x = 722,092.09

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.