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Finding the Third Proportional to 240,236 and 376,854

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Solution

The third proportional to 240,236 and 376,854 is: 591,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,236 : 376,854 = 376,854 : x
  2. Step 2: Convert to fraction form
    240,236/376,854 = 376,854/x
  3. Step 3: Cross multiply
    240,236x = 376,854 × 376,854
  4. Step 4: Simplify right side
    240,236x = 142,018,937,316
  5. Step 5: Solve for x
    x = 142,018,937,316/240,236
  6. Step 6: Final answer
    x = 591,164.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.