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Finding the Third Proportional to 88,490 and 194,476

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Solution

The third proportional to 88,490 and 194,476 is: 427,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,490 : 194,476 = 194,476 : x
  2. Step 2: Convert to fraction form
    88,490/194,476 = 194,476/x
  3. Step 3: Cross multiply
    88,490x = 194,476 × 194,476
  4. Step 4: Simplify right side
    88,490x = 37,820,914,576
  5. Step 5: Solve for x
    x = 37,820,914,576/88,490
  6. Step 6: Final answer
    x = 427,403.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.