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Finding the Third Proportional to 224,254.50 and 343,389

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Solution

The third proportional to 224,254.50 and 343,389 is: 525,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,254.50 : 343,389 = 343,389 : x
  2. Step 2: Convert to fraction form
    224,254.50/343,389 = 343,389/x
  3. Step 3: Cross multiply
    224,254.50x = 343,389 × 343,389
  4. Step 4: Simplify right side
    224,254.50x = 117,916,005,321
  5. Step 5: Solve for x
    x = 117,916,005,321/224,254.50
  6. Step 6: Final answer
    x = 525,813.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.