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Finding the Third Proportional to 164,492 and 351,152

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Solution

The third proportional to 164,492 and 351,152 is: 749,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,492 : 351,152 = 351,152 : x
  2. Step 2: Convert to fraction form
    164,492/351,152 = 351,152/x
  3. Step 3: Cross multiply
    164,492x = 351,152 × 351,152
  4. Step 4: Simplify right side
    164,492x = 123,307,727,104
  5. Step 5: Solve for x
    x = 123,307,727,104/164,492
  6. Step 6: Final answer
    x = 749,627.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.