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Finding the Third Proportional to 154,624 and 233,472

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Solution

The third proportional to 154,624 and 233,472 is: 352,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,624 : 233,472 = 233,472 : x
  2. Step 2: Convert to fraction form
    154,624/233,472 = 233,472/x
  3. Step 3: Cross multiply
    154,624x = 233,472 × 233,472
  4. Step 4: Simplify right side
    154,624x = 54,509,174,784
  5. Step 5: Solve for x
    x = 54,509,174,784/154,624
  6. Step 6: Final answer
    x = 352,527.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.