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Finding the Third Proportional to 152,610 and 331,490

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Solution

The third proportional to 152,610 and 331,490 is: 720,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,610 : 331,490 = 331,490 : x
  2. Step 2: Convert to fraction form
    152,610/331,490 = 331,490/x
  3. Step 3: Cross multiply
    152,610x = 331,490 × 331,490
  4. Step 4: Simplify right side
    152,610x = 109,885,620,100
  5. Step 5: Solve for x
    x = 109,885,620,100/152,610
  6. Step 6: Final answer
    x = 720,042.07

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