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Finding the Third Proportional to 152,610 and 233,451

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Solution

The third proportional to 152,610 and 233,451 is: 357,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,610 : 233,451 = 233,451 : x
  2. Step 2: Convert to fraction form
    152,610/233,451 = 233,451/x
  3. Step 3: Cross multiply
    152,610x = 233,451 × 233,451
  4. Step 4: Simplify right side
    152,610x = 54,499,369,401
  5. Step 5: Solve for x
    x = 54,499,369,401/152,610
  6. Step 6: Final answer
    x = 357,115.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.