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Finding the Third Proportional to 187,232 and 403,982

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Solution

The third proportional to 187,232 and 403,982 is: 871,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,232 : 403,982 = 403,982 : x
  2. Step 2: Convert to fraction form
    187,232/403,982 = 403,982/x
  3. Step 3: Cross multiply
    187,232x = 403,982 × 403,982
  4. Step 4: Simplify right side
    187,232x = 163,201,456,324
  5. Step 5: Solve for x
    x = 163,201,456,324/187,232
  6. Step 6: Final answer
    x = 871,653.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.