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Finding the Third Proportional to 160,043 and 233,485

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Solution

The third proportional to 160,043 and 233,485 is: 340,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,043 : 233,485 = 233,485 : x
  2. Step 2: Convert to fraction form
    160,043/233,485 = 233,485/x
  3. Step 3: Cross multiply
    160,043x = 233,485 × 233,485
  4. Step 4: Simplify right side
    160,043x = 54,515,245,225
  5. Step 5: Solve for x
    x = 54,515,245,225/160,043
  6. Step 6: Final answer
    x = 340,628.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.