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Finding the Third Proportional to 233,516 and 368,982

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Solution

The third proportional to 233,516 and 368,982 is: 583,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,516 : 368,982 = 368,982 : x
  2. Step 2: Convert to fraction form
    233,516/368,982 = 368,982/x
  3. Step 3: Cross multiply
    233,516x = 368,982 × 368,982
  4. Step 4: Simplify right side
    233,516x = 136,147,716,324
  5. Step 5: Solve for x
    x = 136,147,716,324/233,516
  6. Step 6: Final answer
    x = 583,033.78

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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.