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Finding the Third Proportional to 341,138 and 535,119

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Solution

The third proportional to 341,138 and 535,119 is: 839,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,138 : 535,119 = 535,119 : x
  2. Step 2: Convert to fraction form
    341,138/535,119 = 535,119/x
  3. Step 3: Cross multiply
    341,138x = 535,119 × 535,119
  4. Step 4: Simplify right side
    341,138x = 286,352,344,161
  5. Step 5: Solve for x
    x = 286,352,344,161/341,138
  6. Step 6: Final answer
    x = 839,403.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.