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Finding the Third Proportional to 182,332 and 383,090

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Solution

The third proportional to 182,332 and 383,090 is: 804,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,332 : 383,090 = 383,090 : x
  2. Step 2: Convert to fraction form
    182,332/383,090 = 383,090/x
  3. Step 3: Cross multiply
    182,332x = 383,090 × 383,090
  4. Step 4: Simplify right side
    182,332x = 146,757,948,100
  5. Step 5: Solve for x
    x = 146,757,948,100/182,332
  6. Step 6: Final answer
    x = 804,894.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.