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Finding the Third Proportional to 190,298 and 266,052

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Solution

The third proportional to 190,298 and 266,052 is: 371,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,298 : 266,052 = 266,052 : x
  2. Step 2: Convert to fraction form
    190,298/266,052 = 266,052/x
  3. Step 3: Cross multiply
    190,298x = 266,052 × 266,052
  4. Step 4: Simplify right side
    190,298x = 70,783,666,704
  5. Step 5: Solve for x
    x = 70,783,666,704/190,298
  6. Step 6: Final answer
    x = 371,962.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.