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Finding the Third Proportional to 178,492 and 371,778

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Solution

The third proportional to 178,492 and 371,778 is: 774,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,492 : 371,778 = 371,778 : x
  2. Step 2: Convert to fraction form
    178,492/371,778 = 371,778/x
  3. Step 3: Cross multiply
    178,492x = 371,778 × 371,778
  4. Step 4: Simplify right side
    178,492x = 138,218,881,284
  5. Step 5: Solve for x
    x = 138,218,881,284/178,492
  6. Step 6: Final answer
    x = 774,370.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.