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Finding the Third Proportional to 152,025 and 351,902

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Solution

The third proportional to 152,025 and 351,902 is: 814,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,025 : 351,902 = 351,902 : x
  2. Step 2: Convert to fraction form
    152,025/351,902 = 351,902/x
  3. Step 3: Cross multiply
    152,025x = 351,902 × 351,902
  4. Step 4: Simplify right side
    152,025x = 123,835,017,604
  5. Step 5: Solve for x
    x = 123,835,017,604/152,025
  6. Step 6: Final answer
    x = 814,570.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.