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Finding the Third Proportional to 208,080 and 297,360

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Solution

The third proportional to 208,080 and 297,360 is: 424,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,080 : 297,360 = 297,360 : x
  2. Step 2: Convert to fraction form
    208,080/297,360 = 297,360/x
  3. Step 3: Cross multiply
    208,080x = 297,360 × 297,360
  4. Step 4: Simplify right side
    208,080x = 88,422,969,600
  5. Step 5: Solve for x
    x = 88,422,969,600/208,080
  6. Step 6: Final answer
    x = 424,946.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.