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Finding the Third Proportional to 208,225.69 and 448,051.50

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Solution

The third proportional to 208,225.69 and 448,051.50 is: 964,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,225.69 : 448,051.50 = 448,051.50 : x
  2. Step 2: Convert to fraction form
    208,225.69/448,051.50 = 448,051.50/x
  3. Step 3: Cross multiply
    208,225.69x = 448,051.50 × 448,051.50
  4. Step 4: Simplify right side
    208,225.69x = 200,750,146,652.25
  5. Step 5: Solve for x
    x = 200,750,146,652.25/208,225.69
  6. Step 6: Final answer
    x = 964,098.85

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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.