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Finding the Third Proportional to 144,490 and 191,778

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Solution

The third proportional to 144,490 and 191,778 is: 254,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,490 : 191,778 = 191,778 : x
  2. Step 2: Convert to fraction form
    144,490/191,778 = 191,778/x
  3. Step 3: Cross multiply
    144,490x = 191,778 × 191,778
  4. Step 4: Simplify right side
    144,490x = 36,778,801,284
  5. Step 5: Solve for x
    x = 36,778,801,284/144,490
  6. Step 6: Final answer
    x = 254,542.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.