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Finding the Third Proportional to 207,360 and 299,718

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Solution

The third proportional to 207,360 and 299,718 is: 433,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,360 : 299,718 = 299,718 : x
  2. Step 2: Convert to fraction form
    207,360/299,718 = 299,718/x
  3. Step 3: Cross multiply
    207,360x = 299,718 × 299,718
  4. Step 4: Simplify right side
    207,360x = 89,830,879,524
  5. Step 5: Solve for x
    x = 89,830,879,524/207,360
  6. Step 6: Final answer
    x = 433,212.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.