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Finding the Third Proportional to 111,144 and 240,055.50

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Solution

The third proportional to 111,144 and 240,055.50 is: 518,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,144 : 240,055.50 = 240,055.50 : x
  2. Step 2: Convert to fraction form
    111,144/240,055.50 = 240,055.50/x
  3. Step 3: Cross multiply
    111,144x = 240,055.50 × 240,055.50
  4. Step 4: Simplify right side
    111,144x = 57,626,643,080.25
  5. Step 5: Solve for x
    x = 57,626,643,080.25/111,144
  6. Step 6: Final answer
    x = 518,486.32

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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.