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Finding the Third Proportional to 161,414 and 375,095

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Solution

The third proportional to 161,414 and 375,095 is: 871,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,414 : 375,095 = 375,095 : x
  2. Step 2: Convert to fraction form
    161,414/375,095 = 375,095/x
  3. Step 3: Cross multiply
    161,414x = 375,095 × 375,095
  4. Step 4: Simplify right side
    161,414x = 140,696,259,025
  5. Step 5: Solve for x
    x = 140,696,259,025/161,414
  6. Step 6: Final answer
    x = 871,648.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.