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Finding the Third Proportional to 153,254 and 230,088

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Solution

The third proportional to 153,254 and 230,088 is: 345,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,254 : 230,088 = 230,088 : x
  2. Step 2: Convert to fraction form
    153,254/230,088 = 230,088/x
  3. Step 3: Cross multiply
    153,254x = 230,088 × 230,088
  4. Step 4: Simplify right side
    153,254x = 52,940,487,744
  5. Step 5: Solve for x
    x = 52,940,487,744/153,254
  6. Step 6: Final answer
    x = 345,442.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.