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Finding the Third Proportional to 157,599.84 and 337,343.06

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Solution

The third proportional to 157,599.84 and 337,343.06 is: 722,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,599.84 : 337,343.06 = 337,343.06 : x
  2. Step 2: Convert to fraction form
    157,599.84/337,343.06 = 337,343.06/x
  3. Step 3: Cross multiply
    157,599.84x = 337,343.06 × 337,343.06
  4. Step 4: Simplify right side
    157,599.84x = 113,800,341,816.88
  5. Step 5: Solve for x
    x = 113,800,341,816.88/157,599.84
  6. Step 6: Final answer
    x = 722,084.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.