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Finding the Third Proportional to 177,285.38 and 266,109.47

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Solution

The third proportional to 177,285.38 and 266,109.47 is: 399,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,285.38 : 266,109.47 = 266,109.47 : x
  2. Step 2: Convert to fraction form
    177,285.38/266,109.47 = 266,109.47/x
  3. Step 3: Cross multiply
    177,285.38x = 266,109.47 × 266,109.47
  4. Step 4: Simplify right side
    177,285.38x = 70,814,249,358.41
  5. Step 5: Solve for x
    x = 70,814,249,358.41/177,285.38
  6. Step 6: Final answer
    x = 399,436.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.