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Finding the Third Proportional to 183,362 and 291,765

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Solution

The third proportional to 183,362 and 291,765 is: 464,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,362 : 291,765 = 291,765 : x
  2. Step 2: Convert to fraction form
    183,362/291,765 = 291,765/x
  3. Step 3: Cross multiply
    183,362x = 291,765 × 291,765
  4. Step 4: Simplify right side
    183,362x = 85,126,815,225
  5. Step 5: Solve for x
    x = 85,126,815,225/183,362
  6. Step 6: Final answer
    x = 464,255.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.