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Finding the Third Proportional to 145,818 and 224,946

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Solution

The third proportional to 145,818 and 224,946 is: 347,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,818 : 224,946 = 224,946 : x
  2. Step 2: Convert to fraction form
    145,818/224,946 = 224,946/x
  3. Step 3: Cross multiply
    145,818x = 224,946 × 224,946
  4. Step 4: Simplify right side
    145,818x = 50,600,702,916
  5. Step 5: Solve for x
    x = 50,600,702,916/145,818
  6. Step 6: Final answer
    x = 347,012.73

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Why These Related Problems?

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