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Finding the Third Proportional to 187,752 and 291,111

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Solution

The third proportional to 187,752 and 291,111 is: 451,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,752 : 291,111 = 291,111 : x
  2. Step 2: Convert to fraction form
    187,752/291,111 = 291,111/x
  3. Step 3: Cross multiply
    187,752x = 291,111 × 291,111
  4. Step 4: Simplify right side
    187,752x = 84,745,614,321
  5. Step 5: Solve for x
    x = 84,745,614,321/187,752
  6. Step 6: Final answer
    x = 451,369.97

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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.