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Finding the Third Proportional to 176,407.88 and 266,253.75

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Solution

The third proportional to 176,407.88 and 266,253.75 is: 401,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,407.88 : 266,253.75 = 266,253.75 : x
  2. Step 2: Convert to fraction form
    176,407.88/266,253.75 = 266,253.75/x
  3. Step 3: Cross multiply
    176,407.88x = 266,253.75 × 266,253.75
  4. Step 4: Simplify right side
    176,407.88x = 70,891,059,389.06
  5. Step 5: Solve for x
    x = 70,891,059,389.06/176,407.88
  6. Step 6: Final answer
    x = 401,858.81

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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.