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Finding the Third Proportional to 191,329.50 and 417,105

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Solution

The third proportional to 191,329.50 and 417,105 is: 909,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,329.50 : 417,105 = 417,105 : x
  2. Step 2: Convert to fraction form
    191,329.50/417,105 = 417,105/x
  3. Step 3: Cross multiply
    191,329.50x = 417,105 × 417,105
  4. Step 4: Simplify right side
    191,329.50x = 173,976,581,025
  5. Step 5: Solve for x
    x = 173,976,581,025/191,329.50
  6. Step 6: Final answer
    x = 909,303.48

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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.