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Finding the Third Proportional to 202,302 and 435,768

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Solution

The third proportional to 202,302 and 435,768 is: 938,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302 : 435,768 = 435,768 : x
  2. Step 2: Convert to fraction form
    202,302/435,768 = 435,768/x
  3. Step 3: Cross multiply
    202,302x = 435,768 × 435,768
  4. Step 4: Simplify right side
    202,302x = 189,893,749,824
  5. Step 5: Solve for x
    x = 189,893,749,824/202,302
  6. Step 6: Final answer
    x = 938,664.72

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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.