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Finding the Third Proportional to 267,249 and 426,172.50

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Solution

The third proportional to 267,249 and 426,172.50 is: 679,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,249 : 426,172.50 = 426,172.50 : x
  2. Step 2: Convert to fraction form
    267,249/426,172.50 = 426,172.50/x
  3. Step 3: Cross multiply
    267,249x = 426,172.50 × 426,172.50
  4. Step 4: Simplify right side
    267,249x = 181,622,999,756.25
  5. Step 5: Solve for x
    x = 181,622,999,756.25/267,249
  6. Step 6: Final answer
    x = 679,602.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.