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Finding the Third Proportional to 175,330 and 384,032

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Solution

The third proportional to 175,330 and 384,032 is: 841,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,330 : 384,032 = 384,032 : x
  2. Step 2: Convert to fraction form
    175,330/384,032 = 384,032/x
  3. Step 3: Cross multiply
    175,330x = 384,032 × 384,032
  4. Step 4: Simplify right side
    175,330x = 147,480,577,024
  5. Step 5: Solve for x
    x = 147,480,577,024/175,330
  6. Step 6: Final answer
    x = 841,159.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.