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Finding the Third Proportional to 202,225.50 and 305,851.50

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Solution

The third proportional to 202,225.50 and 305,851.50 is: 462,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,225.50 : 305,851.50 = 305,851.50 : x
  2. Step 2: Convert to fraction form
    202,225.50/305,851.50 = 305,851.50/x
  3. Step 3: Cross multiply
    202,225.50x = 305,851.50 × 305,851.50
  4. Step 4: Simplify right side
    202,225.50x = 93,545,140,052.25
  5. Step 5: Solve for x
    x = 93,545,140,052.25/202,225.50
  6. Step 6: Final answer
    x = 462,578.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.