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Finding the Third Proportional to 155,732 and 228,062

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Solution

The third proportional to 155,732 and 228,062 is: 333,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,732 : 228,062 = 228,062 : x
  2. Step 2: Convert to fraction form
    155,732/228,062 = 228,062/x
  3. Step 3: Cross multiply
    155,732x = 228,062 × 228,062
  4. Step 4: Simplify right side
    155,732x = 52,012,275,844
  5. Step 5: Solve for x
    x = 52,012,275,844/155,732
  6. Step 6: Final answer
    x = 333,985.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.