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Finding the Third Proportional to 160,525 and 238,476

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Solution

The third proportional to 160,525 and 238,476 is: 354,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,525 : 238,476 = 238,476 : x
  2. Step 2: Convert to fraction form
    160,525/238,476 = 238,476/x
  3. Step 3: Cross multiply
    160,525x = 238,476 × 238,476
  4. Step 4: Simplify right side
    160,525x = 56,870,802,576
  5. Step 5: Solve for x
    x = 56,870,802,576/160,525
  6. Step 6: Final answer
    x = 354,280.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.