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Finding the Third Proportional to 153,348 and 234,876

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Solution

The third proportional to 153,348 and 234,876 is: 359,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,348 : 234,876 = 234,876 : x
  2. Step 2: Convert to fraction form
    153,348/234,876 = 234,876/x
  3. Step 3: Cross multiply
    153,348x = 234,876 × 234,876
  4. Step 4: Simplify right side
    153,348x = 55,166,735,376
  5. Step 5: Solve for x
    x = 55,166,735,376/153,348
  6. Step 6: Final answer
    x = 359,748.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.