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Finding the Third Proportional to 140,414.25 and 307,555.50

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Solution

The third proportional to 140,414.25 and 307,555.50 is: 673,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,414.25 : 307,555.50 = 307,555.50 : x
  2. Step 2: Convert to fraction form
    140,414.25/307,555.50 = 307,555.50/x
  3. Step 3: Cross multiply
    140,414.25x = 307,555.50 × 307,555.50
  4. Step 4: Simplify right side
    140,414.25x = 94,590,385,580.25
  5. Step 5: Solve for x
    x = 94,590,385,580.25/140,414.25
  6. Step 6: Final answer
    x = 673,652.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.