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Finding the Third Proportional to 161,880.50 and 343,487.50

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Solution

The third proportional to 161,880.50 and 343,487.50 is: 728,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,880.50 : 343,487.50 = 343,487.50 : x
  2. Step 2: Convert to fraction form
    161,880.50/343,487.50 = 343,487.50/x
  3. Step 3: Cross multiply
    161,880.50x = 343,487.50 × 343,487.50
  4. Step 4: Simplify right side
    161,880.50x = 117,983,662,656.25
  5. Step 5: Solve for x
    x = 117,983,662,656.25/161,880.50
  6. Step 6: Final answer
    x = 728,831.84

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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.