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Finding the Third Proportional to 235,602 and 356,832

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Solution

The third proportional to 235,602 and 356,832 is: 540,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,602 : 356,832 = 356,832 : x
  2. Step 2: Convert to fraction form
    235,602/356,832 = 356,832/x
  3. Step 3: Cross multiply
    235,602x = 356,832 × 356,832
  4. Step 4: Simplify right side
    235,602x = 127,329,076,224
  5. Step 5: Solve for x
    x = 127,329,076,224/235,602
  6. Step 6: Final answer
    x = 540,441.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.