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Finding the Third Proportional to 163,903.50 and 356,648.06

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Solution

The third proportional to 163,903.50 and 356,648.06 is: 776,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,903.50 : 356,648.06 = 356,648.06 : x
  2. Step 2: Convert to fraction form
    163,903.50/356,648.06 = 356,648.06/x
  3. Step 3: Cross multiply
    163,903.50x = 356,648.06 × 356,648.06
  4. Step 4: Simplify right side
    163,903.50x = 127,197,840,485.00
  5. Step 5: Solve for x
    x = 127,197,840,485.00/163,903.50
  6. Step 6: Final answer
    x = 776,053.23

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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.