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Finding the Third Proportional to 154,866.94 and 319,681.69

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Solution

The third proportional to 154,866.94 and 319,681.69 is: 659,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,866.94 : 319,681.69 = 319,681.69 : x
  2. Step 2: Convert to fraction form
    154,866.94/319,681.69 = 319,681.69/x
  3. Step 3: Cross multiply
    154,866.94x = 319,681.69 × 319,681.69
  4. Step 4: Simplify right side
    154,866.94x = 102,196,381,322.85
  5. Step 5: Solve for x
    x = 102,196,381,322.85/154,866.94
  6. Step 6: Final answer
    x = 659,897.99

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.