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Finding the Third Proportional to 181,612.13 and 358,566.75

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Solution

The third proportional to 181,612.13 and 358,566.75 is: 707,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,612.13 : 358,566.75 = 358,566.75 : x
  2. Step 2: Convert to fraction form
    181,612.13/358,566.75 = 358,566.75/x
  3. Step 3: Cross multiply
    181,612.13x = 358,566.75 × 358,566.75
  4. Step 4: Simplify right side
    181,612.13x = 128,570,114,205.56
  5. Step 5: Solve for x
    x = 128,570,114,205.56/181,612.13
  6. Step 6: Final answer
    x = 707,937.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.