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Finding the Third Proportional to 286,056 and 376,164

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Solution

The third proportional to 286,056 and 376,164 is: 494,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,056 : 376,164 = 376,164 : x
  2. Step 2: Convert to fraction form
    286,056/376,164 = 376,164/x
  3. Step 3: Cross multiply
    286,056x = 376,164 × 376,164
  4. Step 4: Simplify right side
    286,056x = 141,499,354,896
  5. Step 5: Solve for x
    x = 141,499,354,896/286,056
  6. Step 6: Final answer
    x = 494,656.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.