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Finding the Third Proportional to 202,346 and 443,237

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Solution

The third proportional to 202,346 and 443,237 is: 970,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,346 : 443,237 = 443,237 : x
  2. Step 2: Convert to fraction form
    202,346/443,237 = 443,237/x
  3. Step 3: Cross multiply
    202,346x = 443,237 × 443,237
  4. Step 4: Simplify right side
    202,346x = 196,459,038,169
  5. Step 5: Solve for x
    x = 196,459,038,169/202,346
  6. Step 6: Final answer
    x = 970,906.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.