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Finding the Third Proportional to 176,379.75 and 266,209.88

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Solution

The third proportional to 176,379.75 and 266,209.88 is: 401,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,379.75 : 266,209.88 = 266,209.88 : x
  2. Step 2: Convert to fraction form
    176,379.75/266,209.88 = 266,209.88/x
  3. Step 3: Cross multiply
    176,379.75x = 266,209.88 × 266,209.88
  4. Step 4: Simplify right side
    176,379.75x = 70,867,697,547.52
  5. Step 5: Solve for x
    x = 70,867,697,547.52/176,379.75
  6. Step 6: Final answer
    x = 401,790.44

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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.