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Finding the Third Proportional to 145,133 and 224,172

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Solution

The third proportional to 145,133 and 224,172 is: 346,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,133 : 224,172 = 224,172 : x
  2. Step 2: Convert to fraction form
    145,133/224,172 = 224,172/x
  3. Step 3: Cross multiply
    145,133x = 224,172 × 224,172
  4. Step 4: Simplify right side
    145,133x = 50,253,085,584
  5. Step 5: Solve for x
    x = 50,253,085,584/145,133
  6. Step 6: Final answer
    x = 346,255.40

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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.