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Finding the Third Proportional to 187,947 and 291,467.25

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Solution

The third proportional to 187,947 and 291,467.25 is: 452,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,947 : 291,467.25 = 291,467.25 : x
  2. Step 2: Convert to fraction form
    187,947/291,467.25 = 291,467.25/x
  3. Step 3: Cross multiply
    187,947x = 291,467.25 × 291,467.25
  4. Step 4: Simplify right side
    187,947x = 84,953,157,822.56
  5. Step 5: Solve for x
    x = 84,953,157,822.56/187,947
  6. Step 6: Final answer
    x = 452,005.93

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