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Finding the Third Proportional to 163,116 and 357,336

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Solution

The third proportional to 163,116 and 357,336 is: 782,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,116 : 357,336 = 357,336 : x
  2. Step 2: Convert to fraction form
    163,116/357,336 = 357,336/x
  3. Step 3: Cross multiply
    163,116x = 357,336 × 357,336
  4. Step 4: Simplify right side
    163,116x = 127,689,016,896
  5. Step 5: Solve for x
    x = 127,689,016,896/163,116
  6. Step 6: Final answer
    x = 782,811.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.