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Finding the Third Proportional to 153,746 and 224,667

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Solution

The third proportional to 153,746 and 224,667 is: 328,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,746 : 224,667 = 224,667 : x
  2. Step 2: Convert to fraction form
    153,746/224,667 = 224,667/x
  3. Step 3: Cross multiply
    153,746x = 224,667 × 224,667
  4. Step 4: Simplify right side
    153,746x = 50,475,260,889
  5. Step 5: Solve for x
    x = 50,475,260,889/153,746
  6. Step 6: Final answer
    x = 328,302.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.