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Finding the Third Proportional to 110,664 and 237,457.13

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Solution

The third proportional to 110,664 and 237,457.13 is: 509,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,664 : 237,457.13 = 237,457.13 : x
  2. Step 2: Convert to fraction form
    110,664/237,457.13 = 237,457.13/x
  3. Step 3: Cross multiply
    110,664x = 237,457.13 × 237,457.13
  4. Step 4: Simplify right side
    110,664x = 56,385,886,213.27
  5. Step 5: Solve for x
    x = 56,385,886,213.27/110,664
  6. Step 6: Final answer
    x = 509,523.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.