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Finding the Third Proportional to 195,725 and 375,898

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Solution

The third proportional to 195,725 and 375,898 is: 721,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,725 : 375,898 = 375,898 : x
  2. Step 2: Convert to fraction form
    195,725/375,898 = 375,898/x
  3. Step 3: Cross multiply
    195,725x = 375,898 × 375,898
  4. Step 4: Simplify right side
    195,725x = 141,299,306,404
  5. Step 5: Solve for x
    x = 141,299,306,404/195,725
  6. Step 6: Final answer
    x = 721,927.74

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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.