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Finding the Third Proportional to 110,977.50 and 240,810

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Solution

The third proportional to 110,977.50 and 240,810 is: 522,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,977.50 : 240,810 = 240,810 : x
  2. Step 2: Convert to fraction form
    110,977.50/240,810 = 240,810/x
  3. Step 3: Cross multiply
    110,977.50x = 240,810 × 240,810
  4. Step 4: Simplify right side
    110,977.50x = 57,989,456,100
  5. Step 5: Solve for x
    x = 57,989,456,100/110,977.50
  6. Step 6: Final answer
    x = 522,533.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.