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Finding the Third Proportional to 155,765 and 243,064

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Solution

The third proportional to 155,765 and 243,064 is: 379,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,765 : 243,064 = 243,064 : x
  2. Step 2: Convert to fraction form
    155,765/243,064 = 243,064/x
  3. Step 3: Cross multiply
    155,765x = 243,064 × 243,064
  4. Step 4: Simplify right side
    155,765x = 59,080,108,096
  5. Step 5: Solve for x
    x = 59,080,108,096/155,765
  6. Step 6: Final answer
    x = 379,290.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.