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Finding the Third Proportional to 257,235 and 366,935

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Solution

The third proportional to 257,235 and 366,935 is: 523,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,235 : 366,935 = 366,935 : x
  2. Step 2: Convert to fraction form
    257,235/366,935 = 366,935/x
  3. Step 3: Cross multiply
    257,235x = 366,935 × 366,935
  4. Step 4: Simplify right side
    257,235x = 134,641,294,225
  5. Step 5: Solve for x
    x = 134,641,294,225/257,235
  6. Step 6: Final answer
    x = 523,417.48

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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.