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Finding the Third Proportional to 142,801.50 and 313,627.69

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Solution

The third proportional to 142,801.50 and 313,627.69 is: 688,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,801.50 : 313,627.69 = 313,627.69 : x
  2. Step 2: Convert to fraction form
    142,801.50/313,627.69 = 313,627.69/x
  3. Step 3: Cross multiply
    142,801.50x = 313,627.69 × 313,627.69
  4. Step 4: Simplify right side
    142,801.50x = 98,362,326,366.60
  5. Step 5: Solve for x
    x = 98,362,326,366.60/142,801.50
  6. Step 6: Final answer
    x = 688,804.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.