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Finding the Third Proportional to 110,745 and 237,225.75

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Solution

The third proportional to 110,745 and 237,225.75 is: 508,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,745 : 237,225.75 = 237,225.75 : x
  2. Step 2: Convert to fraction form
    110,745/237,225.75 = 237,225.75/x
  3. Step 3: Cross multiply
    110,745x = 237,225.75 × 237,225.75
  4. Step 4: Simplify right side
    110,745x = 56,276,056,463.06
  5. Step 5: Solve for x
    x = 56,276,056,463.06/110,745
  6. Step 6: Final answer
    x = 508,158.89

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Why These Related Problems?

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