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Finding the Third Proportional to 208,305 and 448,159.50

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Solution

The third proportional to 208,305 and 448,159.50 is: 964,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,305 : 448,159.50 = 448,159.50 : x
  2. Step 2: Convert to fraction form
    208,305/448,159.50 = 448,159.50/x
  3. Step 3: Cross multiply
    208,305x = 448,159.50 × 448,159.50
  4. Step 4: Simplify right side
    208,305x = 200,846,937,440.25
  5. Step 5: Solve for x
    x = 200,846,937,440.25/208,305
  6. Step 6: Final answer
    x = 964,196.43

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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.