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Finding the Third Proportional to 233,808 and 361,624

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Solution

The third proportional to 233,808 and 361,624 is: 559,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,808 : 361,624 = 361,624 : x
  2. Step 2: Convert to fraction form
    233,808/361,624 = 361,624/x
  3. Step 3: Cross multiply
    233,808x = 361,624 × 361,624
  4. Step 4: Simplify right side
    233,808x = 130,771,917,376
  5. Step 5: Solve for x
    x = 130,771,917,376/233,808
  6. Step 6: Final answer
    x = 559,313.27

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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.