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Finding the Third Proportional to 163,165.50 and 356,220

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Solution

The third proportional to 163,165.50 and 356,220 is: 777,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,165.50 : 356,220 = 356,220 : x
  2. Step 2: Convert to fraction form
    163,165.50/356,220 = 356,220/x
  3. Step 3: Cross multiply
    163,165.50x = 356,220 × 356,220
  4. Step 4: Simplify right side
    163,165.50x = 126,892,688,400
  5. Step 5: Solve for x
    x = 126,892,688,400/163,165.50
  6. Step 6: Final answer
    x = 777,693.13

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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.