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Finding the Third Proportional to 239,434 and 357,073

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Solution

The third proportional to 239,434 and 357,073 is: 532,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,434 : 357,073 = 357,073 : x
  2. Step 2: Convert to fraction form
    239,434/357,073 = 357,073/x
  3. Step 3: Cross multiply
    239,434x = 357,073 × 357,073
  4. Step 4: Simplify right side
    239,434x = 127,501,127,329
  5. Step 5: Solve for x
    x = 127,501,127,329/239,434
  6. Step 6: Final answer
    x = 532,510.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.