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Finding the Third Proportional to 207,943 and 452,173

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Solution

The third proportional to 207,943 and 452,173 is: 983,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,943 : 452,173 = 452,173 : x
  2. Step 2: Convert to fraction form
    207,943/452,173 = 452,173/x
  3. Step 3: Cross multiply
    207,943x = 452,173 × 452,173
  4. Step 4: Simplify right side
    207,943x = 204,460,421,929
  5. Step 5: Solve for x
    x = 204,460,421,929/207,943
  6. Step 6: Final answer
    x = 983,252.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.