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Finding the Third Proportional to 160,969 and 256,230

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Solution

The third proportional to 160,969 and 256,230 is: 407,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,969 : 256,230 = 256,230 : x
  2. Step 2: Convert to fraction form
    160,969/256,230 = 256,230/x
  3. Step 3: Cross multiply
    160,969x = 256,230 × 256,230
  4. Step 4: Simplify right side
    160,969x = 65,653,812,900
  5. Step 5: Solve for x
    x = 65,653,812,900/160,969
  6. Step 6: Final answer
    x = 407,866.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.