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Finding the Third Proportional to 148,053.38 and 238,431.94

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Solution

The third proportional to 148,053.38 and 238,431.94 is: 383,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,053.38 : 238,431.94 = 238,431.94 : x
  2. Step 2: Convert to fraction form
    148,053.38/238,431.94 = 238,431.94/x
  3. Step 3: Cross multiply
    148,053.38x = 238,431.94 × 238,431.94
  4. Step 4: Simplify right side
    148,053.38x = 56,849,788,820.00
  5. Step 5: Solve for x
    x = 56,849,788,820.00/148,053.38
  6. Step 6: Final answer
    x = 383,981.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.