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Finding the Third Proportional to 160,254 and 345,895

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Solution

The third proportional to 160,254 and 345,895 is: 746,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,254 : 345,895 = 345,895 : x
  2. Step 2: Convert to fraction form
    160,254/345,895 = 345,895/x
  3. Step 3: Cross multiply
    160,254x = 345,895 × 345,895
  4. Step 4: Simplify right side
    160,254x = 119,643,351,025
  5. Step 5: Solve for x
    x = 119,643,351,025/160,254
  6. Step 6: Final answer
    x = 746,585.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.