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Finding the Third Proportional to 144,438.75 and 322,070.63

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Solution

The third proportional to 144,438.75 and 322,070.63 is: 718,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,438.75 : 322,070.63 = 322,070.63 : x
  2. Step 2: Convert to fraction form
    144,438.75/322,070.63 = 322,070.63/x
  3. Step 3: Cross multiply
    144,438.75x = 322,070.63 × 322,070.63
  4. Step 4: Simplify right side
    144,438.75x = 103,729,487,487.89
  5. Step 5: Solve for x
    x = 103,729,487,487.89/144,438.75
  6. Step 6: Final answer
    x = 718,155.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.