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Finding the Third Proportional to 148,746.75 and 327,018.75

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Solution

The third proportional to 148,746.75 and 327,018.75 is: 718,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,746.75 : 327,018.75 = 327,018.75 : x
  2. Step 2: Convert to fraction form
    148,746.75/327,018.75 = 327,018.75/x
  3. Step 3: Cross multiply
    148,746.75x = 327,018.75 × 327,018.75
  4. Step 4: Simplify right side
    148,746.75x = 106,941,262,851.56
  5. Step 5: Solve for x
    x = 106,941,262,851.56/148,746.75
  6. Step 6: Final answer
    x = 718,948.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.