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Finding the Third Proportional to 240,623.16 and 336,425.91

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Solution

The third proportional to 240,623.16 and 336,425.91 is: 470,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,623.16 : 336,425.91 = 336,425.91 : x
  2. Step 2: Convert to fraction form
    240,623.16/336,425.91 = 336,425.91/x
  3. Step 3: Cross multiply
    240,623.16x = 336,425.91 × 336,425.91
  4. Step 4: Simplify right side
    240,623.16x = 113,182,390,396.13
  5. Step 5: Solve for x
    x = 113,182,390,396.13/240,623.16
  6. Step 6: Final answer
    x = 470,371.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.