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Finding the Third Proportional to 155,028 and 232,544

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Solution

The third proportional to 155,028 and 232,544 is: 348,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,028 : 232,544 = 232,544 : x
  2. Step 2: Convert to fraction form
    155,028/232,544 = 232,544/x
  3. Step 3: Cross multiply
    155,028x = 232,544 × 232,544
  4. Step 4: Simplify right side
    155,028x = 54,076,711,936
  5. Step 5: Solve for x
    x = 54,076,711,936/155,028
  6. Step 6: Final answer
    x = 348,819.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.