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Finding the Third Proportional to 130,022.50 and 206,308.50

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Solution

The third proportional to 130,022.50 and 206,308.50 is: 327,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,022.50 : 206,308.50 = 206,308.50 : x
  2. Step 2: Convert to fraction form
    130,022.50/206,308.50 = 206,308.50/x
  3. Step 3: Cross multiply
    130,022.50x = 206,308.50 × 206,308.50
  4. Step 4: Simplify right side
    130,022.50x = 42,563,197,172.25
  5. Step 5: Solve for x
    x = 42,563,197,172.25/130,022.50
  6. Step 6: Final answer
    x = 327,352.55

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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.