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Finding the Third Proportional to 96,400 and 148,358

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Solution

The third proportional to 96,400 and 148,358 is: 228,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400 : 148,358 = 148,358 : x
  2. Step 2: Convert to fraction form
    96,400/148,358 = 148,358/x
  3. Step 3: Cross multiply
    96,400x = 148,358 × 148,358
  4. Step 4: Simplify right side
    96,400x = 22,010,096,164
  5. Step 5: Solve for x
    x = 22,010,096,164/96,400
  6. Step 6: Final answer
    x = 228,320.50

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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.