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Finding the Third Proportional to 170,433 and 266,773.50

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Solution

The third proportional to 170,433 and 266,773.50 is: 417,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,433 : 266,773.50 = 266,773.50 : x
  2. Step 2: Convert to fraction form
    170,433/266,773.50 = 266,773.50/x
  3. Step 3: Cross multiply
    170,433x = 266,773.50 × 266,773.50
  4. Step 4: Simplify right side
    170,433x = 71,168,100,302.25
  5. Step 5: Solve for x
    x = 71,168,100,302.25/170,433
  6. Step 6: Final answer
    x = 417,572.30

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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.