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Finding the Third Proportional to 187,656.75 and 291,006

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Solution

The third proportional to 187,656.75 and 291,006 is: 451,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,656.75 : 291,006 = 291,006 : x
  2. Step 2: Convert to fraction form
    187,656.75/291,006 = 291,006/x
  3. Step 3: Cross multiply
    187,656.75x = 291,006 × 291,006
  4. Step 4: Simplify right side
    187,656.75x = 84,684,492,036
  5. Step 5: Solve for x
    x = 84,684,492,036/187,656.75
  6. Step 6: Final answer
    x = 451,273.36

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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.