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Finding the Third Proportional to 164,152 and 353,420

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Solution

The third proportional to 164,152 and 353,420 is: 760,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,152 : 353,420 = 353,420 : x
  2. Step 2: Convert to fraction form
    164,152/353,420 = 353,420/x
  3. Step 3: Cross multiply
    164,152x = 353,420 × 353,420
  4. Step 4: Simplify right side
    164,152x = 124,905,696,400
  5. Step 5: Solve for x
    x = 124,905,696,400/164,152
  6. Step 6: Final answer
    x = 760,914.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.