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Finding the Third Proportional to 155,932 and 243,024

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Solution

The third proportional to 155,932 and 243,024 is: 378,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,932 : 243,024 = 243,024 : x
  2. Step 2: Convert to fraction form
    155,932/243,024 = 243,024/x
  3. Step 3: Cross multiply
    155,932x = 243,024 × 243,024
  4. Step 4: Simplify right side
    155,932x = 59,060,664,576
  5. Step 5: Solve for x
    x = 59,060,664,576/155,932
  6. Step 6: Final answer
    x = 378,759.10

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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.