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Finding the Third Proportional to 154,202 and 241,953

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Solution

The third proportional to 154,202 and 241,953 is: 379,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,202 : 241,953 = 241,953 : x
  2. Step 2: Convert to fraction form
    154,202/241,953 = 241,953/x
  3. Step 3: Cross multiply
    154,202x = 241,953 × 241,953
  4. Step 4: Simplify right side
    154,202x = 58,541,254,209
  5. Step 5: Solve for x
    x = 58,541,254,209/154,202
  6. Step 6: Final answer
    x = 379,640.04

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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.