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Finding the Third Proportional to 191,630 and 403,104

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Solution

The third proportional to 191,630 and 403,104 is: 847,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,630 : 403,104 = 403,104 : x
  2. Step 2: Convert to fraction form
    191,630/403,104 = 403,104/x
  3. Step 3: Cross multiply
    191,630x = 403,104 × 403,104
  4. Step 4: Simplify right side
    191,630x = 162,492,834,816
  5. Step 5: Solve for x
    x = 162,492,834,816/191,630
  6. Step 6: Final answer
    x = 847,950.92

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Why These Related Problems?

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