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Finding the Third Proportional to 153,373 and 314,183

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Solution

The third proportional to 153,373 and 314,183 is: 643,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,373 : 314,183 = 314,183 : x
  2. Step 2: Convert to fraction form
    153,373/314,183 = 314,183/x
  3. Step 3: Cross multiply
    153,373x = 314,183 × 314,183
  4. Step 4: Simplify right side
    153,373x = 98,710,957,489
  5. Step 5: Solve for x
    x = 98,710,957,489/153,373
  6. Step 6: Final answer
    x = 643,600.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.