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Finding the Third Proportional to 153,199.13 and 236,260.13

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Solution

The third proportional to 153,199.13 and 236,260.13 is: 364,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,199.13 : 236,260.13 = 236,260.13 : x
  2. Step 2: Convert to fraction form
    153,199.13/236,260.13 = 236,260.13/x
  3. Step 3: Cross multiply
    153,199.13x = 236,260.13 × 236,260.13
  4. Step 4: Simplify right side
    153,199.13x = 55,818,846,665.02
  5. Step 5: Solve for x
    x = 55,818,846,665.02/153,199.13
  6. Step 6: Final answer
    x = 364,354.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.