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Finding the Third Proportional to 156,377.81 and 341,430.75

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Solution

The third proportional to 156,377.81 and 341,430.75 is: 745,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,377.81 : 341,430.75 = 341,430.75 : x
  2. Step 2: Convert to fraction form
    156,377.81/341,430.75 = 341,430.75/x
  3. Step 3: Cross multiply
    156,377.81x = 341,430.75 × 341,430.75
  4. Step 4: Simplify right side
    156,377.81x = 116,574,957,045.56
  5. Step 5: Solve for x
    x = 116,574,957,045.56/156,377.81
  6. Step 6: Final answer
    x = 745,469.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.