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Finding the Third Proportional to 145,104.44 and 304,896.88

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Solution

The third proportional to 145,104.44 and 304,896.88 is: 640,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,104.44 : 304,896.88 = 304,896.88 : x
  2. Step 2: Convert to fraction form
    145,104.44/304,896.88 = 304,896.88/x
  3. Step 3: Cross multiply
    145,104.44x = 304,896.88 × 304,896.88
  4. Step 4: Simplify right side
    145,104.44x = 92,962,104,384.77
  5. Step 5: Solve for x
    x = 92,962,104,384.77/145,104.44
  6. Step 6: Final answer
    x = 640,656.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.