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Finding the Third Proportional to 161,928 and 341,460

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Solution

The third proportional to 161,928 and 341,460 is: 720,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,928 : 341,460 = 341,460 : x
  2. Step 2: Convert to fraction form
    161,928/341,460 = 341,460/x
  3. Step 3: Cross multiply
    161,928x = 341,460 × 341,460
  4. Step 4: Simplify right side
    161,928x = 116,594,931,600
  5. Step 5: Solve for x
    x = 116,594,931,600/161,928
  6. Step 6: Final answer
    x = 720,041.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.