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Finding the Third Proportional to 110,265 and 241,543.50

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Solution

The third proportional to 110,265 and 241,543.50 is: 529,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,265 : 241,543.50 = 241,543.50 : x
  2. Step 2: Convert to fraction form
    110,265/241,543.50 = 241,543.50/x
  3. Step 3: Cross multiply
    110,265x = 241,543.50 × 241,543.50
  4. Step 4: Simplify right side
    110,265x = 58,343,262,392.25
  5. Step 5: Solve for x
    x = 58,343,262,392.25/110,265
  6. Step 6: Final answer
    x = 529,118.60

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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.