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Finding the Third Proportional to 144,074 and 211,440

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Solution

The third proportional to 144,074 and 211,440 is: 310,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,074 : 211,440 = 211,440 : x
  2. Step 2: Convert to fraction form
    144,074/211,440 = 211,440/x
  3. Step 3: Cross multiply
    144,074x = 211,440 × 211,440
  4. Step 4: Simplify right side
    144,074x = 44,706,873,600
  5. Step 5: Solve for x
    x = 44,706,873,600/144,074
  6. Step 6: Final answer
    x = 310,304.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.