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Finding the Third Proportional to 177,784.88 and 266,403.94

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Solution

The third proportional to 177,784.88 and 266,403.94 is: 399,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,784.88 : 266,403.94 = 266,403.94 : x
  2. Step 2: Convert to fraction form
    177,784.88/266,403.94 = 266,403.94/x
  3. Step 3: Cross multiply
    177,784.88x = 266,403.94 × 266,403.94
  4. Step 4: Simplify right side
    177,784.88x = 70,971,057,915.50
  5. Step 5: Solve for x
    x = 70,971,057,915.50/177,784.88
  6. Step 6: Final answer
    x = 399,196.26

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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.