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Finding the Third Proportional to 161,007 and 211,783.50

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Solution

The third proportional to 161,007 and 211,783.50 is: 278,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,007 : 211,783.50 = 211,783.50 : x
  2. Step 2: Convert to fraction form
    161,007/211,783.50 = 211,783.50/x
  3. Step 3: Cross multiply
    161,007x = 211,783.50 × 211,783.50
  4. Step 4: Simplify right side
    161,007x = 44,852,250,872.25
  5. Step 5: Solve for x
    x = 44,852,250,872.25/161,007
  6. Step 6: Final answer
    x = 278,573.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.