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Finding the Third Proportional to 145,773 and 224,884

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Solution

The third proportional to 145,773 and 224,884 is: 346,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,773 : 224,884 = 224,884 : x
  2. Step 2: Convert to fraction form
    145,773/224,884 = 224,884/x
  3. Step 3: Cross multiply
    145,773x = 224,884 × 224,884
  4. Step 4: Simplify right side
    145,773x = 50,572,813,456
  5. Step 5: Solve for x
    x = 50,572,813,456/145,773
  6. Step 6: Final answer
    x = 346,928.54

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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.