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Finding the Third Proportional to 94,080 and 203,328

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Solution

The third proportional to 94,080 and 203,328 is: 439,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,080 : 203,328 = 203,328 : x
  2. Step 2: Convert to fraction form
    94,080/203,328 = 203,328/x
  3. Step 3: Cross multiply
    94,080x = 203,328 × 203,328
  4. Step 4: Simplify right side
    94,080x = 41,342,275,584
  5. Step 5: Solve for x
    x = 41,342,275,584/94,080
  6. Step 6: Final answer
    x = 439,437.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.