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Finding the Third Proportional to 233,865 and 376,639.50

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Solution

The third proportional to 233,865 and 376,639.50 is: 606,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,865 : 376,639.50 = 376,639.50 : x
  2. Step 2: Convert to fraction form
    233,865/376,639.50 = 376,639.50/x
  3. Step 3: Cross multiply
    233,865x = 376,639.50 × 376,639.50
  4. Step 4: Simplify right side
    233,865x = 141,857,312,960.25
  5. Step 5: Solve for x
    x = 141,857,312,960.25/233,865
  6. Step 6: Final answer
    x = 606,577.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.