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Finding the Third Proportional to 239,196 and 370,458

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Solution

The third proportional to 239,196 and 370,458 is: 573,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,196 : 370,458 = 370,458 : x
  2. Step 2: Convert to fraction form
    239,196/370,458 = 370,458/x
  3. Step 3: Cross multiply
    239,196x = 370,458 × 370,458
  4. Step 4: Simplify right side
    239,196x = 137,239,129,764
  5. Step 5: Solve for x
    x = 137,239,129,764/239,196
  6. Step 6: Final answer
    x = 573,751.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.