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Finding the Third Proportional to 202,968 and 435,862.50

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Solution

The third proportional to 202,968 and 435,862.50 is: 935,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,968 : 435,862.50 = 435,862.50 : x
  2. Step 2: Convert to fraction form
    202,968/435,862.50 = 435,862.50/x
  3. Step 3: Cross multiply
    202,968x = 435,862.50 × 435,862.50
  4. Step 4: Simplify right side
    202,968x = 189,976,118,906.25
  5. Step 5: Solve for x
    x = 189,976,118,906.25/202,968
  6. Step 6: Final answer
    x = 935,990.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.