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Finding the Third Proportional to 110,703 and 229,283.25

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Solution

The third proportional to 110,703 and 229,283.25 is: 474,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,703 : 229,283.25 = 229,283.25 : x
  2. Step 2: Convert to fraction form
    110,703/229,283.25 = 229,283.25/x
  3. Step 3: Cross multiply
    110,703x = 229,283.25 × 229,283.25
  4. Step 4: Simplify right side
    110,703x = 52,570,808,730.56
  5. Step 5: Solve for x
    x = 52,570,808,730.56/110,703
  6. Step 6: Final answer
    x = 474,881.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.