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Finding the Third Proportional to 78,281.25 and 174,491.25

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Solution

The third proportional to 78,281.25 and 174,491.25 is: 388,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,281.25 : 174,491.25 = 174,491.25 : x
  2. Step 2: Convert to fraction form
    78,281.25/174,491.25 = 174,491.25/x
  3. Step 3: Cross multiply
    78,281.25x = 174,491.25 × 174,491.25
  4. Step 4: Simplify right side
    78,281.25x = 30,447,196,326.56
  5. Step 5: Solve for x
    x = 30,447,196,326.56/78,281.25
  6. Step 6: Final answer
    x = 388,946.22

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.