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Finding the Third Proportional to 177,289.88 and 266,117.63

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Solution

The third proportional to 177,289.88 and 266,117.63 is: 399,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,289.88 : 266,117.63 = 266,117.63 : x
  2. Step 2: Convert to fraction form
    177,289.88/266,117.63 = 266,117.63/x
  3. Step 3: Cross multiply
    177,289.88x = 266,117.63 × 266,117.63
  4. Step 4: Simplify right side
    177,289.88x = 70,818,590,335.64
  5. Step 5: Solve for x
    x = 70,818,590,335.64/177,289.88
  6. Step 6: Final answer
    x = 399,450.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.