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Finding the Third Proportional to 160,026 and 233,460

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Solution

The third proportional to 160,026 and 233,460 is: 340,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,026 : 233,460 = 233,460 : x
  2. Step 2: Convert to fraction form
    160,026/233,460 = 233,460/x
  3. Step 3: Cross multiply
    160,026x = 233,460 × 233,460
  4. Step 4: Simplify right side
    160,026x = 54,503,571,600
  5. Step 5: Solve for x
    x = 54,503,571,600/160,026
  6. Step 6: Final answer
    x = 340,591.98

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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.