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Finding the Third Proportional to 152,803.13 and 330,186.38

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Solution

The third proportional to 152,803.13 and 330,186.38 is: 713,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,803.13 : 330,186.38 = 330,186.38 : x
  2. Step 2: Convert to fraction form
    152,803.13/330,186.38 = 330,186.38/x
  3. Step 3: Cross multiply
    152,803.13x = 330,186.38 × 330,186.38
  4. Step 4: Simplify right side
    152,803.13x = 109,023,042,235.64
  5. Step 5: Solve for x
    x = 109,023,042,235.64/152,803.13
  6. Step 6: Final answer
    x = 713,486.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.