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Finding the Third Proportional to 143,752 and 205,842

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Solution

The third proportional to 143,752 and 205,842 is: 294,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,752 : 205,842 = 205,842 : x
  2. Step 2: Convert to fraction form
    143,752/205,842 = 205,842/x
  3. Step 3: Cross multiply
    143,752x = 205,842 × 205,842
  4. Step 4: Simplify right side
    143,752x = 42,370,928,964
  5. Step 5: Solve for x
    x = 42,370,928,964/143,752
  6. Step 6: Final answer
    x = 294,750.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.