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Finding the Third Proportional to 185,253 and 398,592.38

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Solution

The third proportional to 185,253 and 398,592.38 is: 857,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,253 : 398,592.38 = 398,592.38 : x
  2. Step 2: Convert to fraction form
    185,253/398,592.38 = 398,592.38/x
  3. Step 3: Cross multiply
    185,253x = 398,592.38 × 398,592.38
  4. Step 4: Simplify right side
    185,253x = 158,875,881,408.14
  5. Step 5: Solve for x
    x = 158,875,881,408.14/185,253
  6. Step 6: Final answer
    x = 857,615.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.