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Finding the Third Proportional to 164,176.50 and 348,120

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Solution

The third proportional to 164,176.50 and 348,120 is: 738,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,176.50 : 348,120 = 348,120 : x
  2. Step 2: Convert to fraction form
    164,176.50/348,120 = 348,120/x
  3. Step 3: Cross multiply
    164,176.50x = 348,120 × 348,120
  4. Step 4: Simplify right side
    164,176.50x = 121,187,534,400
  5. Step 5: Solve for x
    x = 121,187,534,400/164,176.50
  6. Step 6: Final answer
    x = 738,153.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.