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Finding the Third Proportional to 160,308 and 227,862

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Solution

The third proportional to 160,308 and 227,862 is: 323,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,308 : 227,862 = 227,862 : x
  2. Step 2: Convert to fraction form
    160,308/227,862 = 227,862/x
  3. Step 3: Cross multiply
    160,308x = 227,862 × 227,862
  4. Step 4: Simplify right side
    160,308x = 51,921,091,044
  5. Step 5: Solve for x
    x = 51,921,091,044/160,308
  6. Step 6: Final answer
    x = 323,883.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.