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Finding the Third Proportional to 175,237 and 274,535

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Solution

The third proportional to 175,237 and 274,535 is: 430,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,237 : 274,535 = 274,535 : x
  2. Step 2: Convert to fraction form
    175,237/274,535 = 274,535/x
  3. Step 3: Cross multiply
    175,237x = 274,535 × 274,535
  4. Step 4: Simplify right side
    175,237x = 75,369,466,225
  5. Step 5: Solve for x
    x = 75,369,466,225/175,237
  6. Step 6: Final answer
    x = 430,100.19

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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.