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Finding the Third Proportional to 152,156 and 228,263

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Solution

The third proportional to 152,156 and 228,263 is: 342,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,156 : 228,263 = 228,263 : x
  2. Step 2: Convert to fraction form
    152,156/228,263 = 228,263/x
  3. Step 3: Cross multiply
    152,156x = 228,263 × 228,263
  4. Step 4: Simplify right side
    152,156x = 52,103,997,169
  5. Step 5: Solve for x
    x = 52,103,997,169/152,156
  6. Step 6: Final answer
    x = 342,438.01

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