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Finding the Third Proportional to 187,200 and 429,984

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Solution

The third proportional to 187,200 and 429,984 is: 987,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,200 : 429,984 = 429,984 : x
  2. Step 2: Convert to fraction form
    187,200/429,984 = 429,984/x
  3. Step 3: Cross multiply
    187,200x = 429,984 × 429,984
  4. Step 4: Simplify right side
    187,200x = 184,886,240,256
  5. Step 5: Solve for x
    x = 184,886,240,256/187,200
  6. Step 6: Final answer
    x = 987,640.17

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.