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Finding the Third Proportional to 191,125 and 267,319.50

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Solution

The third proportional to 191,125 and 267,319.50 is: 373,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,125 : 267,319.50 = 267,319.50 : x
  2. Step 2: Convert to fraction form
    191,125/267,319.50 = 267,319.50/x
  3. Step 3: Cross multiply
    191,125x = 267,319.50 × 267,319.50
  4. Step 4: Simplify right side
    191,125x = 71,459,715,080.25
  5. Step 5: Solve for x
    x = 71,459,715,080.25/191,125
  6. Step 6: Final answer
    x = 373,889.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.