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Finding the Third Proportional to 159,664 and 232,476

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Solution

The third proportional to 159,664 and 232,476 is: 338,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,664 : 232,476 = 232,476 : x
  2. Step 2: Convert to fraction form
    159,664/232,476 = 232,476/x
  3. Step 3: Cross multiply
    159,664x = 232,476 × 232,476
  4. Step 4: Simplify right side
    159,664x = 54,045,090,576
  5. Step 5: Solve for x
    x = 54,045,090,576/159,664
  6. Step 6: Final answer
    x = 338,492.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.