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Finding the Third Proportional to 152,562.38 and 319,066.31

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Solution

The third proportional to 152,562.38 and 319,066.31 is: 667,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,562.38 : 319,066.31 = 319,066.31 : x
  2. Step 2: Convert to fraction form
    152,562.38/319,066.31 = 319,066.31/x
  3. Step 3: Cross multiply
    152,562.38x = 319,066.31 × 319,066.31
  4. Step 4: Simplify right side
    152,562.38x = 101,803,311,772.35
  5. Step 5: Solve for x
    x = 101,803,311,772.35/152,562.38
  6. Step 6: Final answer
    x = 667,289.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.