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Finding the Third Proportional to 164,985.19 and 295,661.81

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Solution

The third proportional to 164,985.19 and 295,661.81 is: 529,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,985.19 : 295,661.81 = 295,661.81 : x
  2. Step 2: Convert to fraction form
    164,985.19/295,661.81 = 295,661.81/x
  3. Step 3: Cross multiply
    164,985.19x = 295,661.81 × 295,661.81
  4. Step 4: Simplify right side
    164,985.19x = 87,415,907,370.79
  5. Step 5: Solve for x
    x = 87,415,907,370.79/164,985.19
  6. Step 6: Final answer
    x = 529,840.94

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.