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Finding the Third Proportional to 160,690 and 229,560

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Solution

The third proportional to 160,690 and 229,560 is: 327,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,690 : 229,560 = 229,560 : x
  2. Step 2: Convert to fraction form
    160,690/229,560 = 229,560/x
  3. Step 3: Cross multiply
    160,690x = 229,560 × 229,560
  4. Step 4: Simplify right side
    160,690x = 52,697,793,600
  5. Step 5: Solve for x
    x = 52,697,793,600/160,690
  6. Step 6: Final answer
    x = 327,946.94

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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.