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Finding the Third Proportional to 207,498 and 455,168

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Solution

The third proportional to 207,498 and 455,168 is: 998,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,498 : 455,168 = 455,168 : x
  2. Step 2: Convert to fraction form
    207,498/455,168 = 455,168/x
  3. Step 3: Cross multiply
    207,498x = 455,168 × 455,168
  4. Step 4: Simplify right side
    207,498x = 207,177,908,224
  5. Step 5: Solve for x
    x = 207,177,908,224/207,498
  6. Step 6: Final answer
    x = 998,457.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.