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Finding the Third Proportional to 110,497.50 and 235,482.75

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Solution

The third proportional to 110,497.50 and 235,482.75 is: 501,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,497.50 : 235,482.75 = 235,482.75 : x
  2. Step 2: Convert to fraction form
    110,497.50/235,482.75 = 235,482.75/x
  3. Step 3: Cross multiply
    110,497.50x = 235,482.75 × 235,482.75
  4. Step 4: Simplify right side
    110,497.50x = 55,452,125,547.56
  5. Step 5: Solve for x
    x = 55,452,125,547.56/110,497.50
  6. Step 6: Final answer
    x = 501,840.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.