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Finding the Third Proportional to 161,157 and 341,523

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Solution

The third proportional to 161,157 and 341,523 is: 723,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,157 : 341,523 = 341,523 : x
  2. Step 2: Convert to fraction form
    161,157/341,523 = 341,523/x
  3. Step 3: Cross multiply
    161,157x = 341,523 × 341,523
  4. Step 4: Simplify right side
    161,157x = 116,637,959,529
  5. Step 5: Solve for x
    x = 116,637,959,529/161,157
  6. Step 6: Final answer
    x = 723,753.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.