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Finding the Third Proportional to 235,226 and 555,197

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Solution

The third proportional to 235,226 and 555,197 is: 1,310,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,226 : 555,197 = 555,197 : x
  2. Step 2: Convert to fraction form
    235,226/555,197 = 555,197/x
  3. Step 3: Cross multiply
    235,226x = 555,197 × 555,197
  4. Step 4: Simplify right side
    235,226x = 308,243,708,809
  5. Step 5: Solve for x
    x = 308,243,708,809/235,226
  6. Step 6: Final answer
    x = 1,310,415.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.