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Finding the Third Proportional to 172,098 and 375,948

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Solution

The third proportional to 172,098 and 375,948 is: 821,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,098 : 375,948 = 375,948 : x
  2. Step 2: Convert to fraction form
    172,098/375,948 = 375,948/x
  3. Step 3: Cross multiply
    172,098x = 375,948 × 375,948
  4. Step 4: Simplify right side
    172,098x = 141,336,898,704
  5. Step 5: Solve for x
    x = 141,336,898,704/172,098
  6. Step 6: Final answer
    x = 821,258.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.