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Finding the Third Proportional to 110,457 and 238,566

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Solution

The third proportional to 110,457 and 238,566 is: 515,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,457 : 238,566 = 238,566 : x
  2. Step 2: Convert to fraction form
    110,457/238,566 = 238,566/x
  3. Step 3: Cross multiply
    110,457x = 238,566 × 238,566
  4. Step 4: Simplify right side
    110,457x = 56,913,736,356
  5. Step 5: Solve for x
    x = 56,913,736,356/110,457
  6. Step 6: Final answer
    x = 515,256.94

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Why These Related Problems?

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