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Finding the Third Proportional to 110,745 and 237,225.38

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Solution

The third proportional to 110,745 and 237,225.38 is: 508,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,745 : 237,225.38 = 237,225.38 : x
  2. Step 2: Convert to fraction form
    110,745/237,225.38 = 237,225.38/x
  3. Step 3: Cross multiply
    110,745x = 237,225.38 × 237,225.38
  4. Step 4: Simplify right side
    110,745x = 56,275,878,543.89
  5. Step 5: Solve for x
    x = 56,275,878,543.89/110,745
  6. Step 6: Final answer
    x = 508,157.29

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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.