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Finding the Third Proportional to 257,237 and 366,938

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Solution

The third proportional to 257,237 and 366,938 is: 523,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,237 : 366,938 = 366,938 : x
  2. Step 2: Convert to fraction form
    257,237/366,938 = 366,938/x
  3. Step 3: Cross multiply
    257,237x = 366,938 × 366,938
  4. Step 4: Simplify right side
    257,237x = 134,643,495,844
  5. Step 5: Solve for x
    x = 134,643,495,844/257,237
  6. Step 6: Final answer
    x = 523,421.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.