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Finding the Third Proportional to 191,316.75 and 417,081

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Solution

The third proportional to 191,316.75 and 417,081 is: 909,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,316.75 : 417,081 = 417,081 : x
  2. Step 2: Convert to fraction form
    191,316.75/417,081 = 417,081/x
  3. Step 3: Cross multiply
    191,316.75x = 417,081 × 417,081
  4. Step 4: Simplify right side
    191,316.75x = 173,956,560,561
  5. Step 5: Solve for x
    x = 173,956,560,561/191,316.75
  6. Step 6: Final answer
    x = 909,259.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.