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Finding the Third Proportional to 139,108 and 299,810

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Solution

The third proportional to 139,108 and 299,810 is: 646,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,108 : 299,810 = 299,810 : x
  2. Step 2: Convert to fraction form
    139,108/299,810 = 299,810/x
  3. Step 3: Cross multiply
    139,108x = 299,810 × 299,810
  4. Step 4: Simplify right side
    139,108x = 89,886,036,100
  5. Step 5: Solve for x
    x = 89,886,036,100/139,108
  6. Step 6: Final answer
    x = 646,160.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.