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Finding the Third Proportional to 156,373 and 341,424

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Solution

The third proportional to 156,373 and 341,424 is: 745,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,373 : 341,424 = 341,424 : x
  2. Step 2: Convert to fraction form
    156,373/341,424 = 341,424/x
  3. Step 3: Cross multiply
    156,373x = 341,424 × 341,424
  4. Step 4: Simplify right side
    156,373x = 116,570,347,776
  5. Step 5: Solve for x
    x = 116,570,347,776/156,373
  6. Step 6: Final answer
    x = 745,463.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.