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Finding the Third Proportional to 170,431 and 266,770.50

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Solution

The third proportional to 170,431 and 266,770.50 is: 417,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,431 : 266,770.50 = 266,770.50 : x
  2. Step 2: Convert to fraction form
    170,431/266,770.50 = 266,770.50/x
  3. Step 3: Cross multiply
    170,431x = 266,770.50 × 266,770.50
  4. Step 4: Simplify right side
    170,431x = 71,166,499,670.25
  5. Step 5: Solve for x
    x = 71,166,499,670.25/170,431
  6. Step 6: Final answer
    x = 417,567.81

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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.