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Finding the Third Proportional to 186,801.75 and 295,330.50

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Solution

The third proportional to 186,801.75 and 295,330.50 is: 466,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,801.75 : 295,330.50 = 295,330.50 : x
  2. Step 2: Convert to fraction form
    186,801.75/295,330.50 = 295,330.50/x
  3. Step 3: Cross multiply
    186,801.75x = 295,330.50 × 295,330.50
  4. Step 4: Simplify right side
    186,801.75x = 87,220,104,230.25
  5. Step 5: Solve for x
    x = 87,220,104,230.25/186,801.75
  6. Step 6: Final answer
    x = 466,912.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.