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Finding the Third Proportional to 143,727.19 and 302,349.94

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Solution

The third proportional to 143,727.19 and 302,349.94 is: 636,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,727.19 : 302,349.94 = 302,349.94 : x
  2. Step 2: Convert to fraction form
    143,727.19/302,349.94 = 302,349.94/x
  3. Step 3: Cross multiply
    143,727.19x = 302,349.94 × 302,349.94
  4. Step 4: Simplify right side
    143,727.19x = 91,415,484,706.25
  5. Step 5: Solve for x
    x = 91,415,484,706.25/143,727.19
  6. Step 6: Final answer
    x = 636,034.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.