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Finding the Third Proportional to 148,964 and 324,136

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Solution

The third proportional to 148,964 and 324,136 is: 705,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,964 : 324,136 = 324,136 : x
  2. Step 2: Convert to fraction form
    148,964/324,136 = 324,136/x
  3. Step 3: Cross multiply
    148,964x = 324,136 × 324,136
  4. Step 4: Simplify right side
    148,964x = 105,064,146,496
  5. Step 5: Solve for x
    x = 105,064,146,496/148,964
  6. Step 6: Final answer
    x = 705,298.91

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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.