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Finding the Third Proportional to 230,863.50 and 346,302

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Solution

The third proportional to 230,863.50 and 346,302 is: 519,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,863.50 : 346,302 = 346,302 : x
  2. Step 2: Convert to fraction form
    230,863.50/346,302 = 346,302/x
  3. Step 3: Cross multiply
    230,863.50x = 346,302 × 346,302
  4. Step 4: Simplify right side
    230,863.50x = 119,925,075,204
  5. Step 5: Solve for x
    x = 119,925,075,204/230,863.50
  6. Step 6: Final answer
    x = 519,463.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.