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Finding the Third Proportional to 130,880.25 and 207,579.50

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Solution

The third proportional to 130,880.25 and 207,579.50 is: 329,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,880.25 : 207,579.50 = 207,579.50 : x
  2. Step 2: Convert to fraction form
    130,880.25/207,579.50 = 207,579.50/x
  3. Step 3: Cross multiply
    130,880.25x = 207,579.50 × 207,579.50
  4. Step 4: Simplify right side
    130,880.25x = 43,089,248,820.25
  5. Step 5: Solve for x
    x = 43,089,248,820.25/130,880.25
  6. Step 6: Final answer
    x = 329,226.52

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