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Finding the Third Proportional to 175,394 and 384,376

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Solution

The third proportional to 175,394 and 384,376 is: 842,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,394 : 384,376 = 384,376 : x
  2. Step 2: Convert to fraction form
    175,394/384,376 = 384,376/x
  3. Step 3: Cross multiply
    175,394x = 384,376 × 384,376
  4. Step 4: Simplify right side
    175,394x = 147,744,909,376
  5. Step 5: Solve for x
    x = 147,744,909,376/175,394
  6. Step 6: Final answer
    x = 842,360.11

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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.