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Finding the Third Proportional to 177,345 and 389,180.25

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Solution

The third proportional to 177,345 and 389,180.25 is: 854,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,345 : 389,180.25 = 389,180.25 : x
  2. Step 2: Convert to fraction form
    177,345/389,180.25 = 389,180.25/x
  3. Step 3: Cross multiply
    177,345x = 389,180.25 × 389,180.25
  4. Step 4: Simplify right side
    177,345x = 151,461,266,990.06
  5. Step 5: Solve for x
    x = 151,461,266,990.06/177,345
  6. Step 6: Final answer
    x = 854,048.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.