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Finding the Third Proportional to 180,951 and 386,748

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Solution

The third proportional to 180,951 and 386,748 is: 826,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,951 : 386,748 = 386,748 : x
  2. Step 2: Convert to fraction form
    180,951/386,748 = 386,748/x
  3. Step 3: Cross multiply
    180,951x = 386,748 × 386,748
  4. Step 4: Simplify right side
    180,951x = 149,574,015,504
  5. Step 5: Solve for x
    x = 149,574,015,504/180,951
  6. Step 6: Final answer
    x = 826,599.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.