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Finding the Third Proportional to 152,623 and 233,489

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Solution

The third proportional to 152,623 and 233,489 is: 357,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,623 : 233,489 = 233,489 : x
  2. Step 2: Convert to fraction form
    152,623/233,489 = 233,489/x
  3. Step 3: Cross multiply
    152,623x = 233,489 × 233,489
  4. Step 4: Simplify right side
    152,623x = 54,517,113,121
  5. Step 5: Solve for x
    x = 54,517,113,121/152,623
  6. Step 6: Final answer
    x = 357,201.16

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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.