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Finding the Third Proportional to 144,772.88 and 208,852.88

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Solution

The third proportional to 144,772.88 and 208,852.88 is: 301,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,772.88 : 208,852.88 = 208,852.88 : x
  2. Step 2: Convert to fraction form
    144,772.88/208,852.88 = 208,852.88/x
  3. Step 3: Cross multiply
    144,772.88x = 208,852.88 × 208,852.88
  4. Step 4: Simplify right side
    144,772.88x = 43,619,523,395.77
  5. Step 5: Solve for x
    x = 43,619,523,395.77/144,772.88
  6. Step 6: Final answer
    x = 301,296.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.