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Finding the Third Proportional to 163,095 and 229,674

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Solution

The third proportional to 163,095 and 229,674 is: 323,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,095 : 229,674 = 229,674 : x
  2. Step 2: Convert to fraction form
    163,095/229,674 = 229,674/x
  3. Step 3: Cross multiply
    163,095x = 229,674 × 229,674
  4. Step 4: Simplify right side
    163,095x = 52,750,146,276
  5. Step 5: Solve for x
    x = 52,750,146,276/163,095
  6. Step 6: Final answer
    x = 323,432.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.