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Finding the Third Proportional to 160,576 and 245,054

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Solution

The third proportional to 160,576 and 245,054 is: 373,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,576 : 245,054 = 245,054 : x
  2. Step 2: Convert to fraction form
    160,576/245,054 = 245,054/x
  3. Step 3: Cross multiply
    160,576x = 245,054 × 245,054
  4. Step 4: Simplify right side
    160,576x = 60,051,462,916
  5. Step 5: Solve for x
    x = 60,051,462,916/160,576
  6. Step 6: Final answer
    x = 373,975.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.