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Finding the Third Proportional to 161,324 and 370,286

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Solution

The third proportional to 161,324 and 370,286 is: 849,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,324 : 370,286 = 370,286 : x
  2. Step 2: Convert to fraction form
    161,324/370,286 = 370,286/x
  3. Step 3: Cross multiply
    161,324x = 370,286 × 370,286
  4. Step 4: Simplify right side
    161,324x = 137,111,721,796
  5. Step 5: Solve for x
    x = 137,111,721,796/161,324
  6. Step 6: Final answer
    x = 849,915.21

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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.