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Finding the Third Proportional to 182,106 and 371,435

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Solution

The third proportional to 182,106 and 371,435 is: 757,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,106 : 371,435 = 371,435 : x
  2. Step 2: Convert to fraction form
    182,106/371,435 = 371,435/x
  3. Step 3: Cross multiply
    182,106x = 371,435 × 371,435
  4. Step 4: Simplify right side
    182,106x = 137,963,959,225
  5. Step 5: Solve for x
    x = 137,963,959,225/182,106
  6. Step 6: Final answer
    x = 757,602.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.