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Finding the Third Proportional to 150,095 and 228,237

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Solution

The third proportional to 150,095 and 228,237 is: 347,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,095 : 228,237 = 228,237 : x
  2. Step 2: Convert to fraction form
    150,095/228,237 = 228,237/x
  3. Step 3: Cross multiply
    150,095x = 228,237 × 228,237
  4. Step 4: Simplify right side
    150,095x = 52,092,128,169
  5. Step 5: Solve for x
    x = 52,092,128,169/150,095
  6. Step 6: Final answer
    x = 347,061.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.