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Finding the Third Proportional to 187,933.50 and 291,448.13

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Solution

The third proportional to 187,933.50 and 291,448.13 is: 451,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,933.50 : 291,448.13 = 291,448.13 : x
  2. Step 2: Convert to fraction form
    187,933.50/291,448.13 = 291,448.13/x
  3. Step 3: Cross multiply
    187,933.50x = 291,448.13 × 291,448.13
  4. Step 4: Simplify right side
    187,933.50x = 84,942,009,566.02
  5. Step 5: Solve for x
    x = 84,942,009,566.02/187,933.50
  6. Step 6: Final answer
    x = 451,979.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.