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Finding the Third Proportional to 186,520 and 295,796

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Solution

The third proportional to 186,520 and 295,796 is: 469,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,520 : 295,796 = 295,796 : x
  2. Step 2: Convert to fraction form
    186,520/295,796 = 295,796/x
  3. Step 3: Cross multiply
    186,520x = 295,796 × 295,796
  4. Step 4: Simplify right side
    186,520x = 87,495,273,616
  5. Step 5: Solve for x
    x = 87,495,273,616/186,520
  6. Step 6: Final answer
    x = 469,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.