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Finding the Third Proportional to 148,441 and 302,065

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Solution

The third proportional to 148,441 and 302,065 is: 614,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,441 : 302,065 = 302,065 : x
  2. Step 2: Convert to fraction form
    148,441/302,065 = 302,065/x
  3. Step 3: Cross multiply
    148,441x = 302,065 × 302,065
  4. Step 4: Simplify right side
    148,441x = 91,243,264,225
  5. Step 5: Solve for x
    x = 91,243,264,225/148,441
  6. Step 6: Final answer
    x = 614,676.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.