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Finding the Third Proportional to 175,147 and 277,381.50

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Solution

The third proportional to 175,147 and 277,381.50 is: 439,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,147 : 277,381.50 = 277,381.50 : x
  2. Step 2: Convert to fraction form
    175,147/277,381.50 = 277,381.50/x
  3. Step 3: Cross multiply
    175,147x = 277,381.50 × 277,381.50
  4. Step 4: Simplify right side
    175,147x = 76,940,496,542.25
  5. Step 5: Solve for x
    x = 76,940,496,542.25/175,147
  6. Step 6: Final answer
    x = 439,290.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.