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Finding the Third Proportional to 266,017.50 and 401,787

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Solution

The third proportional to 266,017.50 and 401,787 is: 606,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,017.50 : 401,787 = 401,787 : x
  2. Step 2: Convert to fraction form
    266,017.50/401,787 = 401,787/x
  3. Step 3: Cross multiply
    266,017.50x = 401,787 × 401,787
  4. Step 4: Simplify right side
    266,017.50x = 161,432,793,369
  5. Step 5: Solve for x
    x = 161,432,793,369/266,017.50
  6. Step 6: Final answer
    x = 606,850.28

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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.