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Finding the Third Proportional to 180,564.19 and 388,875.94

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Solution

The third proportional to 180,564.19 and 388,875.94 is: 837,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,564.19 : 388,875.94 = 388,875.94 : x
  2. Step 2: Convert to fraction form
    180,564.19/388,875.94 = 388,875.94/x
  3. Step 3: Cross multiply
    180,564.19x = 388,875.94 × 388,875.94
  4. Step 4: Simplify right side
    180,564.19x = 151,224,494,766.50
  5. Step 5: Solve for x
    x = 151,224,494,766.50/180,564.19
  6. Step 6: Final answer
    x = 837,511.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.