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Finding the Third Proportional to 233,660 and 350,094

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Solution

The third proportional to 233,660 and 350,094 is: 524,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,660 : 350,094 = 350,094 : x
  2. Step 2: Convert to fraction form
    233,660/350,094 = 350,094/x
  3. Step 3: Cross multiply
    233,660x = 350,094 × 350,094
  4. Step 4: Simplify right side
    233,660x = 122,565,808,836
  5. Step 5: Solve for x
    x = 122,565,808,836/233,660
  6. Step 6: Final answer
    x = 524,547.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.