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Finding the Third Proportional to 145,944 and 316,671

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Solution

The third proportional to 145,944 and 316,671 is: 687,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,944 : 316,671 = 316,671 : x
  2. Step 2: Convert to fraction form
    145,944/316,671 = 316,671/x
  3. Step 3: Cross multiply
    145,944x = 316,671 × 316,671
  4. Step 4: Simplify right side
    145,944x = 100,280,522,241
  5. Step 5: Solve for x
    x = 100,280,522,241/145,944
  6. Step 6: Final answer
    x = 687,116.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.