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Finding the Third Proportional to 194,852 and 237,362

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Solution

The third proportional to 194,852 and 237,362 is: 289,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852 : 237,362 = 237,362 : x
  2. Step 2: Convert to fraction form
    194,852/237,362 = 237,362/x
  3. Step 3: Cross multiply
    194,852x = 237,362 × 237,362
  4. Step 4: Simplify right side
    194,852x = 56,340,719,044
  5. Step 5: Solve for x
    x = 56,340,719,044/194,852
  6. Step 6: Final answer
    x = 289,146.22

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.