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Finding the Third Proportional to 254,032 and 371,511.50

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Solution

The third proportional to 254,032 and 371,511.50 is: 543,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,032 : 371,511.50 = 371,511.50 : x
  2. Step 2: Convert to fraction form
    254,032/371,511.50 = 371,511.50/x
  3. Step 3: Cross multiply
    254,032x = 371,511.50 × 371,511.50
  4. Step 4: Simplify right side
    254,032x = 138,020,794,632.25
  5. Step 5: Solve for x
    x = 138,020,794,632.25/254,032
  6. Step 6: Final answer
    x = 543,320.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.