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Finding the Third Proportional to 176,550.75 and 266,486.63

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Solution

The third proportional to 176,550.75 and 266,486.63 is: 402,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,550.75 : 266,486.63 = 266,486.63 : x
  2. Step 2: Convert to fraction form
    176,550.75/266,486.63 = 266,486.63/x
  3. Step 3: Cross multiply
    176,550.75x = 266,486.63 × 266,486.63
  4. Step 4: Simplify right side
    176,550.75x = 71,015,121,303.89
  5. Step 5: Solve for x
    x = 71,015,121,303.89/176,550.75
  6. Step 6: Final answer
    x = 402,236.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.