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Finding the Third Proportional to 159,984 and 228,630

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Solution

The third proportional to 159,984 and 228,630 is: 326,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,984 : 228,630 = 228,630 : x
  2. Step 2: Convert to fraction form
    159,984/228,630 = 228,630/x
  3. Step 3: Cross multiply
    159,984x = 228,630 × 228,630
  4. Step 4: Simplify right side
    159,984x = 52,271,676,900
  5. Step 5: Solve for x
    x = 52,271,676,900/159,984
  6. Step 6: Final answer
    x = 326,730.65

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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.