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Finding the Third Proportional to 208,308 and 448,165.50

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Solution

The third proportional to 208,308 and 448,165.50 is: 964,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,308 : 448,165.50 = 448,165.50 : x
  2. Step 2: Convert to fraction form
    208,308/448,165.50 = 448,165.50/x
  3. Step 3: Cross multiply
    208,308x = 448,165.50 × 448,165.50
  4. Step 4: Simplify right side
    208,308x = 200,852,315,390.25
  5. Step 5: Solve for x
    x = 200,852,315,390.25/208,308
  6. Step 6: Final answer
    x = 964,208.36

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