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Finding the Third Proportional to 152,148 and 308,904

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Solution

The third proportional to 152,148 and 308,904 is: 627,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,148 : 308,904 = 308,904 : x
  2. Step 2: Convert to fraction form
    152,148/308,904 = 308,904/x
  3. Step 3: Cross multiply
    152,148x = 308,904 × 308,904
  4. Step 4: Simplify right side
    152,148x = 95,421,681,216
  5. Step 5: Solve for x
    x = 95,421,681,216/152,148
  6. Step 6: Final answer
    x = 627,163.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.