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Finding the Third Proportional to 159,297 and 248,623.50

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Solution

The third proportional to 159,297 and 248,623.50 is: 388,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,297 : 248,623.50 = 248,623.50 : x
  2. Step 2: Convert to fraction form
    159,297/248,623.50 = 248,623.50/x
  3. Step 3: Cross multiply
    159,297x = 248,623.50 × 248,623.50
  4. Step 4: Simplify right side
    159,297x = 61,813,644,752.25
  5. Step 5: Solve for x
    x = 61,813,644,752.25/159,297
  6. Step 6: Final answer
    x = 388,040.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.