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Finding the Third Proportional to 161,316 and 370,266

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Solution

The third proportional to 161,316 and 370,266 is: 849,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,316 : 370,266 = 370,266 : x
  2. Step 2: Convert to fraction form
    161,316/370,266 = 370,266/x
  3. Step 3: Cross multiply
    161,316x = 370,266 × 370,266
  4. Step 4: Simplify right side
    161,316x = 137,096,910,756
  5. Step 5: Solve for x
    x = 137,096,910,756/161,316
  6. Step 6: Final answer
    x = 849,865.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.