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Finding the Third Proportional to 213,916.50 and 328,834.13

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Solution

The third proportional to 213,916.50 and 328,834.13 is: 505,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,916.50 : 328,834.13 = 328,834.13 : x
  2. Step 2: Convert to fraction form
    213,916.50/328,834.13 = 328,834.13/x
  3. Step 3: Cross multiply
    213,916.50x = 328,834.13 × 328,834.13
  4. Step 4: Simplify right side
    213,916.50x = 108,131,881,764.52
  5. Step 5: Solve for x
    x = 108,131,881,764.52/213,916.50
  6. Step 6: Final answer
    x = 505,486.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.