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Finding the Third Proportional to 186,321 and 295,519.50

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Solution

The third proportional to 186,321 and 295,519.50 is: 468,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,321 : 295,519.50 = 295,519.50 : x
  2. Step 2: Convert to fraction form
    186,321/295,519.50 = 295,519.50/x
  3. Step 3: Cross multiply
    186,321x = 295,519.50 × 295,519.50
  4. Step 4: Simplify right side
    186,321x = 87,331,774,880.25
  5. Step 5: Solve for x
    x = 87,331,774,880.25/186,321
  6. Step 6: Final answer
    x = 468,716.76

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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.