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Finding the Third Proportional to 224,433.28 and 343,360.90

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Solution

The third proportional to 224,433.28 and 343,360.90 is: 525,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,433.28 : 343,360.90 = 343,360.90 : x
  2. Step 2: Convert to fraction form
    224,433.28/343,360.90 = 343,360.90/x
  3. Step 3: Cross multiply
    224,433.28x = 343,360.90 × 343,360.90
  4. Step 4: Simplify right side
    224,433.28x = 117,896,706,575.81
  5. Step 5: Solve for x
    x = 117,896,706,575.81/224,433.28
  6. Step 6: Final answer
    x = 525,308.48

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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.