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Finding the Third Proportional to 159,660 and 239,513

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Solution

The third proportional to 159,660 and 239,513 is: 359,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,660 : 239,513 = 239,513 : x
  2. Step 2: Convert to fraction form
    159,660/239,513 = 239,513/x
  3. Step 3: Cross multiply
    159,660x = 239,513 × 239,513
  4. Step 4: Simplify right side
    159,660x = 57,366,477,169
  5. Step 5: Solve for x
    x = 57,366,477,169/159,660
  6. Step 6: Final answer
    x = 359,304.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.