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Finding the Third Proportional to 186,049.50 and 295,684.50

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Solution

The third proportional to 186,049.50 and 295,684.50 is: 469,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,049.50 : 295,684.50 = 295,684.50 : x
  2. Step 2: Convert to fraction form
    186,049.50/295,684.50 = 295,684.50/x
  3. Step 3: Cross multiply
    186,049.50x = 295,684.50 × 295,684.50
  4. Step 4: Simplify right side
    186,049.50x = 87,429,323,540.25
  5. Step 5: Solve for x
    x = 87,429,323,540.25/186,049.50
  6. Step 6: Final answer
    x = 469,925.07

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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.