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Finding the Third Proportional to 199,969.50 and 281,242.50

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Solution

The third proportional to 199,969.50 and 281,242.50 is: 395,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,969.50 : 281,242.50 = 281,242.50 : x
  2. Step 2: Convert to fraction form
    199,969.50/281,242.50 = 281,242.50/x
  3. Step 3: Cross multiply
    199,969.50x = 281,242.50 × 281,242.50
  4. Step 4: Simplify right side
    199,969.50x = 79,097,343,806.25
  5. Step 5: Solve for x
    x = 79,097,343,806.25/199,969.50
  6. Step 6: Final answer
    x = 395,547.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.