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Finding the Third Proportional to 117,263 and 252,772

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Solution

The third proportional to 117,263 and 252,772 is: 544,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,263 : 252,772 = 252,772 : x
  2. Step 2: Convert to fraction form
    117,263/252,772 = 252,772/x
  3. Step 3: Cross multiply
    117,263x = 252,772 × 252,772
  4. Step 4: Simplify right side
    117,263x = 63,893,683,984
  5. Step 5: Solve for x
    x = 63,893,683,984/117,263
  6. Step 6: Final answer
    x = 544,875.06

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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.