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Finding the Third Proportional to 148,440 and 228,168

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Solution

The third proportional to 148,440 and 228,168 is: 350,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,440 : 228,168 = 228,168 : x
  2. Step 2: Convert to fraction form
    148,440/228,168 = 228,168/x
  3. Step 3: Cross multiply
    148,440x = 228,168 × 228,168
  4. Step 4: Simplify right side
    148,440x = 52,060,636,224
  5. Step 5: Solve for x
    x = 52,060,636,224/148,440
  6. Step 6: Final answer
    x = 350,718.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.