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Finding the Third Proportional to 266,199 and 402,071

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Solution

The third proportional to 266,199 and 402,071 is: 607,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,199 : 402,071 = 402,071 : x
  2. Step 2: Convert to fraction form
    266,199/402,071 = 402,071/x
  3. Step 3: Cross multiply
    266,199x = 402,071 × 402,071
  4. Step 4: Simplify right side
    266,199x = 161,661,089,041
  5. Step 5: Solve for x
    x = 161,661,089,041/266,199
  6. Step 6: Final answer
    x = 607,294.13

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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.