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Finding the Third Proportional to 148,065 and 235,491

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Solution

The third proportional to 148,065 and 235,491 is: 374,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,065 : 235,491 = 235,491 : x
  2. Step 2: Convert to fraction form
    148,065/235,491 = 235,491/x
  3. Step 3: Cross multiply
    148,065x = 235,491 × 235,491
  4. Step 4: Simplify right side
    148,065x = 55,456,011,081
  5. Step 5: Solve for x
    x = 55,456,011,081/148,065
  6. Step 6: Final answer
    x = 374,538.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.