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Finding the Third Proportional to 175,248 and 382,928

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Solution

The third proportional to 175,248 and 382,928 is: 836,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,248 : 382,928 = 382,928 : x
  2. Step 2: Convert to fraction form
    175,248/382,928 = 382,928/x
  3. Step 3: Cross multiply
    175,248x = 382,928 × 382,928
  4. Step 4: Simplify right side
    175,248x = 146,633,853,184
  5. Step 5: Solve for x
    x = 146,633,853,184/175,248
  6. Step 6: Final answer
    x = 836,721.98

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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.