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Finding the Third Proportional to 160,308 and 250,167

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Solution

The third proportional to 160,308 and 250,167 is: 390,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,308 : 250,167 = 250,167 : x
  2. Step 2: Convert to fraction form
    160,308/250,167 = 250,167/x
  3. Step 3: Cross multiply
    160,308x = 250,167 × 250,167
  4. Step 4: Simplify right side
    160,308x = 62,583,527,889
  5. Step 5: Solve for x
    x = 62,583,527,889/160,308
  6. Step 6: Final answer
    x = 390,395.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.