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Finding the Third Proportional to 133,250.91 and 291,413.06

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Solution

The third proportional to 133,250.91 and 291,413.06 is: 637,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,250.91 : 291,413.06 = 291,413.06 : x
  2. Step 2: Convert to fraction form
    133,250.91/291,413.06 = 291,413.06/x
  3. Step 3: Cross multiply
    133,250.91x = 291,413.06 × 291,413.06
  4. Step 4: Simplify right side
    133,250.91x = 84,921,572,995.63
  5. Step 5: Solve for x
    x = 84,921,572,995.63/133,250.91
  6. Step 6: Final answer
    x = 637,305.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.