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Finding the Third Proportional to 130,283.06 and 194,657.25

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Solution

The third proportional to 130,283.06 and 194,657.25 is: 290,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,283.06 : 194,657.25 = 194,657.25 : x
  2. Step 2: Convert to fraction form
    130,283.06/194,657.25 = 194,657.25/x
  3. Step 3: Cross multiply
    130,283.06x = 194,657.25 × 194,657.25
  4. Step 4: Simplify right side
    130,283.06x = 37,891,444,977.56
  5. Step 5: Solve for x
    x = 37,891,444,977.56/130,283.06
  6. Step 6: Final answer
    x = 290,839.38

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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.