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Finding the Third Proportional to 191,953.50 and 448,576.50

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Solution

The third proportional to 191,953.50 and 448,576.50 is: 1,048,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,953.50 : 448,576.50 = 448,576.50 : x
  2. Step 2: Convert to fraction form
    191,953.50/448,576.50 = 448,576.50/x
  3. Step 3: Cross multiply
    191,953.50x = 448,576.50 × 448,576.50
  4. Step 4: Simplify right side
    191,953.50x = 201,220,876,352.25
  5. Step 5: Solve for x
    x = 201,220,876,352.25/191,953.50
  6. Step 6: Final answer
    x = 1,048,279.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.