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Finding the Third Proportional to 233,964 and 361,944

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Solution

The third proportional to 233,964 and 361,944 is: 559,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,964 : 361,944 = 361,944 : x
  2. Step 2: Convert to fraction form
    233,964/361,944 = 361,944/x
  3. Step 3: Cross multiply
    233,964x = 361,944 × 361,944
  4. Step 4: Simplify right side
    233,964x = 131,003,459,136
  5. Step 5: Solve for x
    x = 131,003,459,136/233,964
  6. Step 6: Final answer
    x = 559,929.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.