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Finding the Third Proportional to 202,377 and 435,369

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Solution

The third proportional to 202,377 and 435,369 is: 936,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,377 : 435,369 = 435,369 : x
  2. Step 2: Convert to fraction form
    202,377/435,369 = 435,369/x
  3. Step 3: Cross multiply
    202,377x = 435,369 × 435,369
  4. Step 4: Simplify right side
    202,377x = 189,546,166,161
  5. Step 5: Solve for x
    x = 189,546,166,161/202,377
  6. Step 6: Final answer
    x = 936,599.35

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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.