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Finding the Third Proportional to 183,424 and 402,502

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Solution

The third proportional to 183,424 and 402,502 is: 883,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,424 : 402,502 = 402,502 : x
  2. Step 2: Convert to fraction form
    183,424/402,502 = 402,502/x
  3. Step 3: Cross multiply
    183,424x = 402,502 × 402,502
  4. Step 4: Simplify right side
    183,424x = 162,007,860,004
  5. Step 5: Solve for x
    x = 162,007,860,004/183,424
  6. Step 6: Final answer
    x = 883,242.43

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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.