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Finding the Third Proportional to 144,234 and 315,613

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Solution

The third proportional to 144,234 and 315,613 is: 690,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,234 : 315,613 = 315,613 : x
  2. Step 2: Convert to fraction form
    144,234/315,613 = 315,613/x
  3. Step 3: Cross multiply
    144,234x = 315,613 × 315,613
  4. Step 4: Simplify right side
    144,234x = 99,611,565,769
  5. Step 5: Solve for x
    x = 99,611,565,769/144,234
  6. Step 6: Final answer
    x = 690,624.72

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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.