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Finding the Third Proportional to 153,022.50 and 230,121

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Solution

The third proportional to 153,022.50 and 230,121 is: 346,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.50 : 230,121 = 230,121 : x
  2. Step 2: Convert to fraction form
    153,022.50/230,121 = 230,121/x
  3. Step 3: Cross multiply
    153,022.50x = 230,121 × 230,121
  4. Step 4: Simplify right side
    153,022.50x = 52,955,674,641
  5. Step 5: Solve for x
    x = 52,955,674,641/153,022.50
  6. Step 6: Final answer
    x = 346,064.63

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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.