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Finding the Third Proportional to 110,759 and 260,031.50

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Solution

The third proportional to 110,759 and 260,031.50 is: 610,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,759 : 260,031.50 = 260,031.50 : x
  2. Step 2: Convert to fraction form
    110,759/260,031.50 = 260,031.50/x
  3. Step 3: Cross multiply
    110,759x = 260,031.50 × 260,031.50
  4. Step 4: Simplify right side
    110,759x = 67,616,380,992.25
  5. Step 5: Solve for x
    x = 67,616,380,992.25/110,759
  6. Step 6: Final answer
    x = 610,482.05

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.