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Finding the Third Proportional to 163,134 and 238,842

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Solution

The third proportional to 163,134 and 238,842 is: 349,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,134 : 238,842 = 238,842 : x
  2. Step 2: Convert to fraction form
    163,134/238,842 = 238,842/x
  3. Step 3: Cross multiply
    163,134x = 238,842 × 238,842
  4. Step 4: Simplify right side
    163,134x = 57,045,500,964
  5. Step 5: Solve for x
    x = 57,045,500,964/163,134
  6. Step 6: Final answer
    x = 349,684.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.