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Finding the Third Proportional to 142,732 and 305,224

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Solution

The third proportional to 142,732 and 305,224 is: 652,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,732 : 305,224 = 305,224 : x
  2. Step 2: Convert to fraction form
    142,732/305,224 = 305,224/x
  3. Step 3: Cross multiply
    142,732x = 305,224 × 305,224
  4. Step 4: Simplify right side
    142,732x = 93,161,690,176
  5. Step 5: Solve for x
    x = 93,161,690,176/142,732
  6. Step 6: Final answer
    x = 652,703.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.