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Finding the Third Proportional to 110,817 and 235,465.50

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Solution

The third proportional to 110,817 and 235,465.50 is: 500,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,817 : 235,465.50 = 235,465.50 : x
  2. Step 2: Convert to fraction form
    110,817/235,465.50 = 235,465.50/x
  3. Step 3: Cross multiply
    110,817x = 235,465.50 × 235,465.50
  4. Step 4: Simplify right side
    110,817x = 55,444,001,690.25
  5. Step 5: Solve for x
    x = 55,444,001,690.25/110,817
  6. Step 6: Final answer
    x = 500,320.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.