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Finding the Third Proportional to 157,722.19 and 342,064.27

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Solution

The third proportional to 157,722.19 and 342,064.27 is: 741,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722.19 : 342,064.27 = 342,064.27 : x
  2. Step 2: Convert to fraction form
    157,722.19/342,064.27 = 342,064.27/x
  3. Step 3: Cross multiply
    157,722.19x = 342,064.27 × 342,064.27
  4. Step 4: Simplify right side
    157,722.19x = 117,007,961,817.57
  5. Step 5: Solve for x
    x = 117,007,961,817.57/157,722.19
  6. Step 6: Final answer
    x = 741,861.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.