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Finding the Third Proportional to 155,613 and 341,355

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Solution

The third proportional to 155,613 and 341,355 is: 748,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,613 : 341,355 = 341,355 : x
  2. Step 2: Convert to fraction form
    155,613/341,355 = 341,355/x
  3. Step 3: Cross multiply
    155,613x = 341,355 × 341,355
  4. Step 4: Simplify right side
    155,613x = 116,523,236,025
  5. Step 5: Solve for x
    x = 116,523,236,025/155,613
  6. Step 6: Final answer
    x = 748,801.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.