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Finding the Third Proportional to 176,410.50 and 266,259

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Solution

The third proportional to 176,410.50 and 266,259 is: 401,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,410.50 : 266,259 = 266,259 : x
  2. Step 2: Convert to fraction form
    176,410.50/266,259 = 266,259/x
  3. Step 3: Cross multiply
    176,410.50x = 266,259 × 266,259
  4. Step 4: Simplify right side
    176,410.50x = 70,893,855,081
  5. Step 5: Solve for x
    x = 70,893,855,081/176,410.50
  6. Step 6: Final answer
    x = 401,868.68

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Why These Related Problems?

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