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Finding the Third Proportional to 163,904.63 and 356,650.31

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Solution

The third proportional to 163,904.63 and 356,650.31 is: 776,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,904.63 : 356,650.31 = 356,650.31 : x
  2. Step 2: Convert to fraction form
    163,904.63/356,650.31 = 356,650.31/x
  3. Step 3: Cross multiply
    163,904.63x = 356,650.31 × 356,650.31
  4. Step 4: Simplify right side
    163,904.63x = 127,199,445,406.35
  5. Step 5: Solve for x
    x = 127,199,445,406.35/163,904.63
  6. Step 6: Final answer
    x = 776,057.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.