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Finding the Third Proportional to 160,275 and 342,785

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Solution

The third proportional to 160,275 and 342,785 is: 733,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,275 : 342,785 = 342,785 : x
  2. Step 2: Convert to fraction form
    160,275/342,785 = 342,785/x
  3. Step 3: Cross multiply
    160,275x = 342,785 × 342,785
  4. Step 4: Simplify right side
    160,275x = 117,501,556,225
  5. Step 5: Solve for x
    x = 117,501,556,225/160,275
  6. Step 6: Final answer
    x = 733,124.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.