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Finding the Third Proportional to 146,098 and 316,964

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Solution

The third proportional to 146,098 and 316,964 is: 687,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,098 : 316,964 = 316,964 : x
  2. Step 2: Convert to fraction form
    146,098/316,964 = 316,964/x
  3. Step 3: Cross multiply
    146,098x = 316,964 × 316,964
  4. Step 4: Simplify right side
    146,098x = 100,466,177,296
  5. Step 5: Solve for x
    x = 100,466,177,296/146,098
  6. Step 6: Final answer
    x = 687,662.92

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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.