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Finding the Third Proportional to 233,246 and 371,322

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Solution

The third proportional to 233,246 and 371,322 is: 591,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,246 : 371,322 = 371,322 : x
  2. Step 2: Convert to fraction form
    233,246/371,322 = 371,322/x
  3. Step 3: Cross multiply
    233,246x = 371,322 × 371,322
  4. Step 4: Simplify right side
    233,246x = 137,880,027,684
  5. Step 5: Solve for x
    x = 137,880,027,684/233,246
  6. Step 6: Final answer
    x = 591,135.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.