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Finding the Third Proportional to 199,130 and 429,956

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Solution

The third proportional to 199,130 and 429,956 is: 928,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,130 : 429,956 = 429,956 : x
  2. Step 2: Convert to fraction form
    199,130/429,956 = 429,956/x
  3. Step 3: Cross multiply
    199,130x = 429,956 × 429,956
  4. Step 4: Simplify right side
    199,130x = 184,862,161,936
  5. Step 5: Solve for x
    x = 184,862,161,936/199,130
  6. Step 6: Final answer
    x = 928,349.13

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