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Finding the Third Proportional to 76,331 and 162,807

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Solution

The third proportional to 76,331 and 162,807 is: 347,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,331 : 162,807 = 162,807 : x
  2. Step 2: Convert to fraction form
    76,331/162,807 = 162,807/x
  3. Step 3: Cross multiply
    76,331x = 162,807 × 162,807
  4. Step 4: Simplify right side
    76,331x = 26,506,119,249
  5. Step 5: Solve for x
    x = 26,506,119,249/76,331
  6. Step 6: Final answer
    x = 347,252.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.