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Finding the Third Proportional to 241,030.50 and 460,191

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Solution

The third proportional to 241,030.50 and 460,191 is: 878,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,030.50 : 460,191 = 460,191 : x
  2. Step 2: Convert to fraction form
    241,030.50/460,191 = 460,191/x
  3. Step 3: Cross multiply
    241,030.50x = 460,191 × 460,191
  4. Step 4: Simplify right side
    241,030.50x = 211,775,756,481
  5. Step 5: Solve for x
    x = 211,775,756,481/241,030.50
  6. Step 6: Final answer
    x = 878,626.38

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.