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Finding the Third Proportional to 164,181 and 357,117

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Solution

The third proportional to 164,181 and 357,117 is: 776,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,181 : 357,117 = 357,117 : x
  2. Step 2: Convert to fraction form
    164,181/357,117 = 357,117/x
  3. Step 3: Cross multiply
    164,181x = 357,117 × 357,117
  4. Step 4: Simplify right side
    164,181x = 127,532,551,689
  5. Step 5: Solve for x
    x = 127,532,551,689/164,181
  6. Step 6: Final answer
    x = 776,780.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.