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Finding the Third Proportional to 164,192.06 and 247,480.31

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Solution

The third proportional to 164,192.06 and 247,480.31 is: 373,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,192.06 : 247,480.31 = 247,480.31 : x
  2. Step 2: Convert to fraction form
    164,192.06/247,480.31 = 247,480.31/x
  3. Step 3: Cross multiply
    164,192.06x = 247,480.31 × 247,480.31
  4. Step 4: Simplify right side
    164,192.06x = 61,246,505,075.10
  5. Step 5: Solve for x
    x = 61,246,505,075.10/164,192.06
  6. Step 6: Final answer
    x = 373,017.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.