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Finding the Third Proportional to 136,946.25 and 295,762.50

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Solution

The third proportional to 136,946.25 and 295,762.50 is: 638,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,946.25 : 295,762.50 = 295,762.50 : x
  2. Step 2: Convert to fraction form
    136,946.25/295,762.50 = 295,762.50/x
  3. Step 3: Cross multiply
    136,946.25x = 295,762.50 × 295,762.50
  4. Step 4: Simplify right side
    136,946.25x = 87,475,456,406.25
  5. Step 5: Solve for x
    x = 87,475,456,406.25/136,946.25
  6. Step 6: Final answer
    x = 638,757.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.