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Finding the Third Proportional to 110,658 and 237,094.50

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Solution

The third proportional to 110,658 and 237,094.50 is: 507,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,658 : 237,094.50 = 237,094.50 : x
  2. Step 2: Convert to fraction form
    110,658/237,094.50 = 237,094.50/x
  3. Step 3: Cross multiply
    110,658x = 237,094.50 × 237,094.50
  4. Step 4: Simplify right side
    110,658x = 56,213,801,930.25
  5. Step 5: Solve for x
    x = 56,213,801,930.25/110,658
  6. Step 6: Final answer
    x = 507,995.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.