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Finding the Third Proportional to 187,983 and 291,264.75

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Solution

The third proportional to 187,983 and 291,264.75 is: 451,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,983 : 291,264.75 = 291,264.75 : x
  2. Step 2: Convert to fraction form
    187,983/291,264.75 = 291,264.75/x
  3. Step 3: Cross multiply
    187,983x = 291,264.75 × 291,264.75
  4. Step 4: Simplify right side
    187,983x = 84,835,154,592.56
  5. Step 5: Solve for x
    x = 84,835,154,592.56/187,983
  6. Step 6: Final answer
    x = 451,291.63

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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.