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Finding the Third Proportional to 160,205.63 and 341,119.13

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Solution

The third proportional to 160,205.63 and 341,119.13 is: 726,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,205.63 : 341,119.13 = 341,119.13 : x
  2. Step 2: Convert to fraction form
    160,205.63/341,119.13 = 341,119.13/x
  3. Step 3: Cross multiply
    160,205.63x = 341,119.13 × 341,119.13
  4. Step 4: Simplify right side
    160,205.63x = 116,362,257,440.77
  5. Step 5: Solve for x
    x = 116,362,257,440.77/160,205.63
  6. Step 6: Final answer
    x = 726,330.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.