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Finding the Third Proportional to 176,322 and 266,122.50

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Solution

The third proportional to 176,322 and 266,122.50 is: 401,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,322 : 266,122.50 = 266,122.50 : x
  2. Step 2: Convert to fraction form
    176,322/266,122.50 = 266,122.50/x
  3. Step 3: Cross multiply
    176,322x = 266,122.50 × 266,122.50
  4. Step 4: Simplify right side
    176,322x = 70,821,185,006.25
  5. Step 5: Solve for x
    x = 70,821,185,006.25/176,322
  6. Step 6: Final answer
    x = 401,658.24

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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.