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Finding the Third Proportional to 152,851 and 247,623

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Solution

The third proportional to 152,851 and 247,623 is: 401,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,851 : 247,623 = 247,623 : x
  2. Step 2: Convert to fraction form
    152,851/247,623 = 247,623/x
  3. Step 3: Cross multiply
    152,851x = 247,623 × 247,623
  4. Step 4: Simplify right side
    152,851x = 61,317,150,129
  5. Step 5: Solve for x
    x = 61,317,150,129/152,851
  6. Step 6: Final answer
    x = 401,156.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.