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Finding the Third Proportional to 143,712 and 294,336

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Solution

The third proportional to 143,712 and 294,336 is: 602,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,712 : 294,336 = 294,336 : x
  2. Step 2: Convert to fraction form
    143,712/294,336 = 294,336/x
  3. Step 3: Cross multiply
    143,712x = 294,336 × 294,336
  4. Step 4: Simplify right side
    143,712x = 86,633,680,896
  5. Step 5: Solve for x
    x = 86,633,680,896/143,712
  6. Step 6: Final answer
    x = 602,828.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.