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Finding the Third Proportional to 107,308 and 160,395

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Solution

The third proportional to 107,308 and 160,395 is: 239,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,308 : 160,395 = 160,395 : x
  2. Step 2: Convert to fraction form
    107,308/160,395 = 160,395/x
  3. Step 3: Cross multiply
    107,308x = 160,395 × 160,395
  4. Step 4: Simplify right side
    107,308x = 25,726,556,025
  5. Step 5: Solve for x
    x = 25,726,556,025/107,308
  6. Step 6: Final answer
    x = 239,745.00

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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.