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Finding the Third Proportional to 183,422 and 402,496.50

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Solution

The third proportional to 183,422 and 402,496.50 is: 883,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,422 : 402,496.50 = 402,496.50 : x
  2. Step 2: Convert to fraction form
    183,422/402,496.50 = 402,496.50/x
  3. Step 3: Cross multiply
    183,422x = 402,496.50 × 402,496.50
  4. Step 4: Simplify right side
    183,422x = 162,003,432,512.25
  5. Step 5: Solve for x
    x = 162,003,432,512.25/183,422
  6. Step 6: Final answer
    x = 883,227.93

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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.