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Finding the Third Proportional to 174,312 and 368,208

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Solution

The third proportional to 174,312 and 368,208 is: 777,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,312 : 368,208 = 368,208 : x
  2. Step 2: Convert to fraction form
    174,312/368,208 = 368,208/x
  3. Step 3: Cross multiply
    174,312x = 368,208 × 368,208
  4. Step 4: Simplify right side
    174,312x = 135,577,131,264
  5. Step 5: Solve for x
    x = 135,577,131,264/174,312
  6. Step 6: Final answer
    x = 777,784.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.