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Finding the Third Proportional to 118,199.25 and 177,420.38

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Solution

The third proportional to 118,199.25 and 177,420.38 is: 266,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,199.25 : 177,420.38 = 177,420.38 : x
  2. Step 2: Convert to fraction form
    118,199.25/177,420.38 = 177,420.38/x
  3. Step 3: Cross multiply
    118,199.25x = 177,420.38 × 177,420.38
  4. Step 4: Simplify right side
    118,199.25x = 31,477,989,465.14
  5. Step 5: Solve for x
    x = 31,477,989,465.14/118,199.25
  6. Step 6: Final answer
    x = 266,312.94

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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.