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Finding the Third Proportional to 110,172 and 237,835.50

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Solution

The third proportional to 110,172 and 237,835.50 is: 513,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,172 : 237,835.50 = 237,835.50 : x
  2. Step 2: Convert to fraction form
    110,172/237,835.50 = 237,835.50/x
  3. Step 3: Cross multiply
    110,172x = 237,835.50 × 237,835.50
  4. Step 4: Simplify right side
    110,172x = 56,565,725,060.25
  5. Step 5: Solve for x
    x = 56,565,725,060.25/110,172
  6. Step 6: Final answer
    x = 513,431.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.