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Finding the Third Proportional to 175,365 and 282,413

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Solution

The third proportional to 175,365 and 282,413 is: 454,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,365 : 282,413 = 282,413 : x
  2. Step 2: Convert to fraction form
    175,365/282,413 = 282,413/x
  3. Step 3: Cross multiply
    175,365x = 282,413 × 282,413
  4. Step 4: Simplify right side
    175,365x = 79,757,102,569
  5. Step 5: Solve for x
    x = 79,757,102,569/175,365
  6. Step 6: Final answer
    x = 454,806.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.