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Finding the Third Proportional to 144,193.57 and 310,573.22

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Solution

The third proportional to 144,193.57 and 310,573.22 is: 668,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,193.57 : 310,573.22 = 310,573.22 : x
  2. Step 2: Convert to fraction form
    144,193.57/310,573.22 = 310,573.22/x
  3. Step 3: Cross multiply
    144,193.57x = 310,573.22 × 310,573.22
  4. Step 4: Simplify right side
    144,193.57x = 96,455,726,024.50
  5. Step 5: Solve for x
    x = 96,455,726,024.50/144,193.57
  6. Step 6: Final answer
    x = 668,932.25

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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.