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Finding the Third Proportional to 152,545 and 331,335

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Solution

The third proportional to 152,545 and 331,335 is: 719,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,545 : 331,335 = 331,335 : x
  2. Step 2: Convert to fraction form
    152,545/331,335 = 331,335/x
  3. Step 3: Cross multiply
    152,545x = 331,335 × 331,335
  4. Step 4: Simplify right side
    152,545x = 109,782,882,225
  5. Step 5: Solve for x
    x = 109,782,882,225/152,545
  6. Step 6: Final answer
    x = 719,675.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.