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Finding the Third Proportional to 149,580 and 224,358

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Solution

The third proportional to 149,580 and 224,358 is: 336,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,580 : 224,358 = 224,358 : x
  2. Step 2: Convert to fraction form
    149,580/224,358 = 224,358/x
  3. Step 3: Cross multiply
    149,580x = 224,358 × 224,358
  4. Step 4: Simplify right side
    149,580x = 50,336,512,164
  5. Step 5: Solve for x
    x = 50,336,512,164/149,580
  6. Step 6: Final answer
    x = 336,519.00

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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.