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Finding the Third Proportional to 163,129 and 229,726

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Solution

The third proportional to 163,129 and 229,726 is: 323,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,129 : 229,726 = 229,726 : x
  2. Step 2: Convert to fraction form
    163,129/229,726 = 229,726/x
  3. Step 3: Cross multiply
    163,129x = 229,726 × 229,726
  4. Step 4: Simplify right side
    163,129x = 52,774,035,076
  5. Step 5: Solve for x
    x = 52,774,035,076/163,129
  6. Step 6: Final answer
    x = 323,511.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.