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Finding the Third Proportional to 153,053 and 241,318

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Solution

The third proportional to 153,053 and 241,318 is: 380,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,053 : 241,318 = 241,318 : x
  2. Step 2: Convert to fraction form
    153,053/241,318 = 241,318/x
  3. Step 3: Cross multiply
    153,053x = 241,318 × 241,318
  4. Step 4: Simplify right side
    153,053x = 58,234,377,124
  5. Step 5: Solve for x
    x = 58,234,377,124/153,053
  6. Step 6: Final answer
    x = 380,485.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.