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Finding the Third Proportional to 130,255.59 and 194,836.64

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Solution

The third proportional to 130,255.59 and 194,836.64 is: 291,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,255.59 : 194,836.64 = 194,836.64 : x
  2. Step 2: Convert to fraction form
    130,255.59/194,836.64 = 194,836.64/x
  3. Step 3: Cross multiply
    130,255.59x = 194,836.64 × 194,836.64
  4. Step 4: Simplify right side
    130,255.59x = 37,961,316,530.04
  5. Step 5: Solve for x
    x = 37,961,316,530.04/130,255.59
  6. Step 6: Final answer
    x = 291,437.13

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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.