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Finding the Third Proportional to 180,047.50 and 388,008.25

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Solution

The third proportional to 180,047.50 and 388,008.25 is: 836,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,047.50 : 388,008.25 = 388,008.25 : x
  2. Step 2: Convert to fraction form
    180,047.50/388,008.25 = 388,008.25/x
  3. Step 3: Cross multiply
    180,047.50x = 388,008.25 × 388,008.25
  4. Step 4: Simplify right side
    180,047.50x = 150,550,402,068.06
  5. Step 5: Solve for x
    x = 150,550,402,068.06/180,047.50
  6. Step 6: Final answer
    x = 836,170.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.