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Finding the Third Proportional to 147,623.50 and 313,700

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Solution

The third proportional to 147,623.50 and 313,700 is: 666,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,623.50 : 313,700 = 313,700 : x
  2. Step 2: Convert to fraction form
    147,623.50/313,700 = 313,700/x
  3. Step 3: Cross multiply
    147,623.50x = 313,700 × 313,700
  4. Step 4: Simplify right side
    147,623.50x = 98,407,690,000
  5. Step 5: Solve for x
    x = 98,407,690,000/147,623.50
  6. Step 6: Final answer
    x = 666,612.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.