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Finding the Third Proportional to 110,838 and 243,222

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Solution

The third proportional to 110,838 and 243,222 is: 533,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,838 : 243,222 = 243,222 : x
  2. Step 2: Convert to fraction form
    110,838/243,222 = 243,222/x
  3. Step 3: Cross multiply
    110,838x = 243,222 × 243,222
  4. Step 4: Simplify right side
    110,838x = 59,156,941,284
  5. Step 5: Solve for x
    x = 59,156,941,284/110,838
  6. Step 6: Final answer
    x = 533,724.37

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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.