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Finding the Third Proportional to 202,300 and 435,764

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Solution

The third proportional to 202,300 and 435,764 is: 938,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,300 : 435,764 = 435,764 : x
  2. Step 2: Convert to fraction form
    202,300/435,764 = 435,764/x
  3. Step 3: Cross multiply
    202,300x = 435,764 × 435,764
  4. Step 4: Simplify right side
    202,300x = 189,890,263,696
  5. Step 5: Solve for x
    x = 189,890,263,696/202,300
  6. Step 6: Final answer
    x = 938,656.77

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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.