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Finding the Third Proportional to 239,435 and 357,076

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Solution

The third proportional to 239,435 and 357,076 is: 532,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,435 : 357,076 = 357,076 : x
  2. Step 2: Convert to fraction form
    239,435/357,076 = 357,076/x
  3. Step 3: Cross multiply
    239,435x = 357,076 × 357,076
  4. Step 4: Simplify right side
    239,435x = 127,503,269,776
  5. Step 5: Solve for x
    x = 127,503,269,776/239,435
  6. Step 6: Final answer
    x = 532,517.26

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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.