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Finding the Third Proportional to 237,113 and 355,679

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Solution

The third proportional to 237,113 and 355,679 is: 533,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,113 : 355,679 = 355,679 : x
  2. Step 2: Convert to fraction form
    237,113/355,679 = 355,679/x
  3. Step 3: Cross multiply
    237,113x = 355,679 × 355,679
  4. Step 4: Simplify right side
    237,113x = 126,507,551,041
  5. Step 5: Solve for x
    x = 126,507,551,041/237,113
  6. Step 6: Final answer
    x = 533,532.75

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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.