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Finding the Third Proportional to 163,296 and 349,056

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Solution

The third proportional to 163,296 and 349,056 is: 746,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,296 : 349,056 = 349,056 : x
  2. Step 2: Convert to fraction form
    163,296/349,056 = 349,056/x
  3. Step 3: Cross multiply
    163,296x = 349,056 × 349,056
  4. Step 4: Simplify right side
    163,296x = 121,840,091,136
  5. Step 5: Solve for x
    x = 121,840,091,136/163,296
  6. Step 6: Final answer
    x = 746,130.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.