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Finding the Third Proportional to 105,216 and 235,438.50

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Solution

The third proportional to 105,216 and 235,438.50 is: 526,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,216 : 235,438.50 = 235,438.50 : x
  2. Step 2: Convert to fraction form
    105,216/235,438.50 = 235,438.50/x
  3. Step 3: Cross multiply
    105,216x = 235,438.50 × 235,438.50
  4. Step 4: Simplify right side
    105,216x = 55,431,287,282.25
  5. Step 5: Solve for x
    x = 55,431,287,282.25/105,216
  6. Step 6: Final answer
    x = 526,833.25

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.