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Finding the Third Proportional to 152,972 and 335,492

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Solution

The third proportional to 152,972 and 335,492 is: 735,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,972 : 335,492 = 335,492 : x
  2. Step 2: Convert to fraction form
    152,972/335,492 = 335,492/x
  3. Step 3: Cross multiply
    152,972x = 335,492 × 335,492
  4. Step 4: Simplify right side
    152,972x = 112,554,882,064
  5. Step 5: Solve for x
    x = 112,554,882,064/152,972
  6. Step 6: Final answer
    x = 735,787.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.