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Finding the Third Proportional to 164,421 and 246,653.50

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Solution

The third proportional to 164,421 and 246,653.50 is: 370,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,421 : 246,653.50 = 246,653.50 : x
  2. Step 2: Convert to fraction form
    164,421/246,653.50 = 246,653.50/x
  3. Step 3: Cross multiply
    164,421x = 246,653.50 × 246,653.50
  4. Step 4: Simplify right side
    164,421x = 60,837,949,062.25
  5. Step 5: Solve for x
    x = 60,837,949,062.25/164,421
  6. Step 6: Final answer
    x = 370,013.25

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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.