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Finding the Third Proportional to 176,558.50 and 266,488

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Solution

The third proportional to 176,558.50 and 266,488 is: 402,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,558.50 : 266,488 = 266,488 : x
  2. Step 2: Convert to fraction form
    176,558.50/266,488 = 266,488/x
  3. Step 3: Cross multiply
    176,558.50x = 266,488 × 266,488
  4. Step 4: Simplify right side
    176,558.50x = 71,015,854,144
  5. Step 5: Solve for x
    x = 71,015,854,144/176,558.50
  6. Step 6: Final answer
    x = 402,222.80

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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.