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Finding the Third Proportional to 191,889 and 301,002.75

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Solution

The third proportional to 191,889 and 301,002.75 is: 472,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,889 : 301,002.75 = 301,002.75 : x
  2. Step 2: Convert to fraction form
    191,889/301,002.75 = 301,002.75/x
  3. Step 3: Cross multiply
    191,889x = 301,002.75 × 301,002.75
  4. Step 4: Simplify right side
    191,889x = 90,602,655,507.56
  5. Step 5: Solve for x
    x = 90,602,655,507.56/191,889
  6. Step 6: Final answer
    x = 472,161.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.