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Finding the Third Proportional to 185,265 and 377,091

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Solution

The third proportional to 185,265 and 377,091 is: 767,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,265 : 377,091 = 377,091 : x
  2. Step 2: Convert to fraction form
    185,265/377,091 = 377,091/x
  3. Step 3: Cross multiply
    185,265x = 377,091 × 377,091
  4. Step 4: Simplify right side
    185,265x = 142,197,622,281
  5. Step 5: Solve for x
    x = 142,197,622,281/185,265
  6. Step 6: Final answer
    x = 767,536.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.