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Finding the Third Proportional to 239,091 and 358,176

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Solution

The third proportional to 239,091 and 358,176 is: 536,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,091 : 358,176 = 358,176 : x
  2. Step 2: Convert to fraction form
    239,091/358,176 = 358,176/x
  3. Step 3: Cross multiply
    239,091x = 358,176 × 358,176
  4. Step 4: Simplify right side
    239,091x = 128,290,046,976
  5. Step 5: Solve for x
    x = 128,290,046,976/239,091
  6. Step 6: Final answer
    x = 536,574.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.