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Finding the Third Proportional to 187,440 and 404,832

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Solution

The third proportional to 187,440 and 404,832 is: 874,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,440 : 404,832 = 404,832 : x
  2. Step 2: Convert to fraction form
    187,440/404,832 = 404,832/x
  3. Step 3: Cross multiply
    187,440x = 404,832 × 404,832
  4. Step 4: Simplify right side
    187,440x = 163,888,948,224
  5. Step 5: Solve for x
    x = 163,888,948,224/187,440
  6. Step 6: Final answer
    x = 874,354.18

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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.