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Finding the Third Proportional to 144,838 and 191,508

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Solution

The third proportional to 144,838 and 191,508 is: 253,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,838 : 191,508 = 191,508 : x
  2. Step 2: Convert to fraction form
    144,838/191,508 = 191,508/x
  3. Step 3: Cross multiply
    144,838x = 191,508 × 191,508
  4. Step 4: Simplify right side
    144,838x = 36,675,314,064
  5. Step 5: Solve for x
    x = 36,675,314,064/144,838
  6. Step 6: Final answer
    x = 253,216.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.