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Finding the Third Proportional to 255,157 and 561,004

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Solution

The third proportional to 255,157 and 561,004 is: 1,233,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,157 : 561,004 = 561,004 : x
  2. Step 2: Convert to fraction form
    255,157/561,004 = 561,004/x
  3. Step 3: Cross multiply
    255,157x = 561,004 × 561,004
  4. Step 4: Simplify right side
    255,157x = 314,725,488,016
  5. Step 5: Solve for x
    x = 314,725,488,016/255,157
  6. Step 6: Final answer
    x = 1,233,458.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.