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Finding the Third Proportional to 155,232 and 227,737

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Solution

The third proportional to 155,232 and 227,737 is: 334,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,232 : 227,737 = 227,737 : x
  2. Step 2: Convert to fraction form
    155,232/227,737 = 227,737/x
  3. Step 3: Cross multiply
    155,232x = 227,737 × 227,737
  4. Step 4: Simplify right side
    155,232x = 51,864,141,169
  5. Step 5: Solve for x
    x = 51,864,141,169/155,232
  6. Step 6: Final answer
    x = 334,107.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.