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Finding the Third Proportional to 240,164 and 376,731

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Solution

The third proportional to 240,164 and 376,731 is: 590,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,164 : 376,731 = 376,731 : x
  2. Step 2: Convert to fraction form
    240,164/376,731 = 376,731/x
  3. Step 3: Cross multiply
    240,164x = 376,731 × 376,731
  4. Step 4: Simplify right side
    240,164x = 141,926,246,361
  5. Step 5: Solve for x
    x = 141,926,246,361/240,164
  6. Step 6: Final answer
    x = 590,955.54

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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.