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Finding the Third Proportional to 177,360 and 363,006

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Solution

The third proportional to 177,360 and 363,006 is: 742,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,360 : 363,006 = 363,006 : x
  2. Step 2: Convert to fraction form
    177,360/363,006 = 363,006/x
  3. Step 3: Cross multiply
    177,360x = 363,006 × 363,006
  4. Step 4: Simplify right side
    177,360x = 131,773,356,036
  5. Step 5: Solve for x
    x = 131,773,356,036/177,360
  6. Step 6: Final answer
    x = 742,971.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.