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Finding the Third Proportional to 175,477.50 and 266,910

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Solution

The third proportional to 175,477.50 and 266,910 is: 405,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,477.50 : 266,910 = 266,910 : x
  2. Step 2: Convert to fraction form
    175,477.50/266,910 = 266,910/x
  3. Step 3: Cross multiply
    175,477.50x = 266,910 × 266,910
  4. Step 4: Simplify right side
    175,477.50x = 71,240,948,100
  5. Step 5: Solve for x
    x = 71,240,948,100/175,477.50
  6. Step 6: Final answer
    x = 405,983.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.