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Finding the Third Proportional to 145,152 and 228,096

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Solution

The third proportional to 145,152 and 228,096 is: 358,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152 : 228,096 = 228,096 : x
  2. Step 2: Convert to fraction form
    145,152/228,096 = 228,096/x
  3. Step 3: Cross multiply
    145,152x = 228,096 × 228,096
  4. Step 4: Simplify right side
    145,152x = 52,027,785,216
  5. Step 5: Solve for x
    x = 52,027,785,216/145,152
  6. Step 6: Final answer
    x = 358,436.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.