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Finding the Third Proportional to 160,076 and 343,478

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Solution

The third proportional to 160,076 and 343,478 is: 737,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,076 : 343,478 = 343,478 : x
  2. Step 2: Convert to fraction form
    160,076/343,478 = 343,478/x
  3. Step 3: Cross multiply
    160,076x = 343,478 × 343,478
  4. Step 4: Simplify right side
    160,076x = 117,977,136,484
  5. Step 5: Solve for x
    x = 117,977,136,484/160,076
  6. Step 6: Final answer
    x = 737,007.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.