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Finding the Third Proportional to 155,513.36 and 234,698.13

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Solution

The third proportional to 155,513.36 and 234,698.13 is: 354,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,513.36 : 234,698.13 = 234,698.13 : x
  2. Step 2: Convert to fraction form
    155,513.36/234,698.13 = 234,698.13/x
  3. Step 3: Cross multiply
    155,513.36x = 234,698.13 × 234,698.13
  4. Step 4: Simplify right side
    155,513.36x = 55,083,213,545.67
  5. Step 5: Solve for x
    x = 55,083,213,545.67/155,513.36
  6. Step 6: Final answer
    x = 354,202.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.