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Finding the Third Proportional to 259,238 and 370,713

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Solution

The third proportional to 259,238 and 370,713 is: 530,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,238 : 370,713 = 370,713 : x
  2. Step 2: Convert to fraction form
    259,238/370,713 = 370,713/x
  3. Step 3: Cross multiply
    259,238x = 370,713 × 370,713
  4. Step 4: Simplify right side
    259,238x = 137,428,128,369
  5. Step 5: Solve for x
    x = 137,428,128,369/259,238
  6. Step 6: Final answer
    x = 530,123.39

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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.