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Finding the Third Proportional to 176,923 and 260,164.50

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Solution

The third proportional to 176,923 and 260,164.50 is: 382,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,923 : 260,164.50 = 260,164.50 : x
  2. Step 2: Convert to fraction form
    176,923/260,164.50 = 260,164.50/x
  3. Step 3: Cross multiply
    176,923x = 260,164.50 × 260,164.50
  4. Step 4: Simplify right side
    176,923x = 67,685,567,060.25
  5. Step 5: Solve for x
    x = 67,685,567,060.25/176,923
  6. Step 6: Final answer
    x = 382,570.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.