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Finding the Third Proportional to 188,994 and 292,638

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Solution

The third proportional to 188,994 and 292,638 is: 453,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,994 : 292,638 = 292,638 : x
  2. Step 2: Convert to fraction form
    188,994/292,638 = 292,638/x
  3. Step 3: Cross multiply
    188,994x = 292,638 × 292,638
  4. Step 4: Simplify right side
    188,994x = 85,636,999,044
  5. Step 5: Solve for x
    x = 85,636,999,044/188,994
  6. Step 6: Final answer
    x = 453,120.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.