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Finding the Third Proportional to 233,511 and 368,974.50

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Solution

The third proportional to 233,511 and 368,974.50 is: 583,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,511 : 368,974.50 = 368,974.50 : x
  2. Step 2: Convert to fraction form
    233,511/368,974.50 = 368,974.50/x
  3. Step 3: Cross multiply
    233,511x = 368,974.50 × 368,974.50
  4. Step 4: Simplify right side
    233,511x = 136,142,181,650.25
  5. Step 5: Solve for x
    x = 136,142,181,650.25/233,511
  6. Step 6: Final answer
    x = 583,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.