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Finding the Third Proportional to 160,053 and 350,238

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Solution

The third proportional to 160,053 and 350,238 is: 766,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,053 : 350,238 = 350,238 : x
  2. Step 2: Convert to fraction form
    160,053/350,238 = 350,238/x
  3. Step 3: Cross multiply
    160,053x = 350,238 × 350,238
  4. Step 4: Simplify right side
    160,053x = 122,666,656,644
  5. Step 5: Solve for x
    x = 122,666,656,644/160,053
  6. Step 6: Final answer
    x = 766,412.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.