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Finding the Third Proportional to 191,630 and 403,123

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Solution

The third proportional to 191,630 and 403,123 is: 848,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,630 : 403,123 = 403,123 : x
  2. Step 2: Convert to fraction form
    191,630/403,123 = 403,123/x
  3. Step 3: Cross multiply
    191,630x = 403,123 × 403,123
  4. Step 4: Simplify right side
    191,630x = 162,508,153,129
  5. Step 5: Solve for x
    x = 162,508,153,129/191,630
  6. Step 6: Final answer
    x = 848,030.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.