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Finding the Third Proportional to 143,725.64 and 302,347.69

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Solution

The third proportional to 143,725.64 and 302,347.69 is: 636,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,725.64 : 302,347.69 = 302,347.69 : x
  2. Step 2: Convert to fraction form
    143,725.64/302,347.69 = 302,347.69/x
  3. Step 3: Cross multiply
    143,725.64x = 302,347.69 × 302,347.69
  4. Step 4: Simplify right side
    143,725.64x = 91,414,124,136.60
  5. Step 5: Solve for x
    x = 91,414,124,136.60/143,725.64
  6. Step 6: Final answer
    x = 636,032.12

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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.