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Finding the Third Proportional to 188,527 and 390,176

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Solution

The third proportional to 188,527 and 390,176 is: 807,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,527 : 390,176 = 390,176 : x
  2. Step 2: Convert to fraction form
    188,527/390,176 = 390,176/x
  3. Step 3: Cross multiply
    188,527x = 390,176 × 390,176
  4. Step 4: Simplify right side
    188,527x = 152,237,310,976
  5. Step 5: Solve for x
    x = 152,237,310,976/188,527
  6. Step 6: Final answer
    x = 807,509.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.