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Finding the Third Proportional to 147,296.50 and 230,422.75

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Solution

The third proportional to 147,296.50 and 230,422.75 is: 360,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,296.50 : 230,422.75 = 230,422.75 : x
  2. Step 2: Convert to fraction form
    147,296.50/230,422.75 = 230,422.75/x
  3. Step 3: Cross multiply
    147,296.50x = 230,422.75 × 230,422.75
  4. Step 4: Simplify right side
    147,296.50x = 53,094,643,717.56
  5. Step 5: Solve for x
    x = 53,094,643,717.56/147,296.50
  6. Step 6: Final answer
    x = 360,461.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.