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Finding the Third Proportional to 160,263 and 341,970

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Solution

The third proportional to 160,263 and 341,970 is: 729,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,263 : 341,970 = 341,970 : x
  2. Step 2: Convert to fraction form
    160,263/341,970 = 341,970/x
  3. Step 3: Cross multiply
    160,263x = 341,970 × 341,970
  4. Step 4: Simplify right side
    160,263x = 116,943,480,900
  5. Step 5: Solve for x
    x = 116,943,480,900/160,263
  6. Step 6: Final answer
    x = 729,697.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.