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Finding the Third Proportional to 151,776 and 228,153

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Solution

The third proportional to 151,776 and 228,153 is: 342,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,776 : 228,153 = 228,153 : x
  2. Step 2: Convert to fraction form
    151,776/228,153 = 228,153/x
  3. Step 3: Cross multiply
    151,776x = 228,153 × 228,153
  4. Step 4: Simplify right side
    151,776x = 52,053,791,409
  5. Step 5: Solve for x
    x = 52,053,791,409/151,776
  6. Step 6: Final answer
    x = 342,964.58

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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.