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Finding the Third Proportional to 187,116 and 293,192.25

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Solution

The third proportional to 187,116 and 293,192.25 is: 459,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,116 : 293,192.25 = 293,192.25 : x
  2. Step 2: Convert to fraction form
    187,116/293,192.25 = 293,192.25/x
  3. Step 3: Cross multiply
    187,116x = 293,192.25 × 293,192.25
  4. Step 4: Simplify right side
    187,116x = 85,961,695,460.06
  5. Step 5: Solve for x
    x = 85,961,695,460.06/187,116
  6. Step 6: Final answer
    x = 459,403.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.