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Finding the Third Proportional to 175,083 and 256,413

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Solution

The third proportional to 175,083 and 256,413 is: 375,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,083 : 256,413 = 256,413 : x
  2. Step 2: Convert to fraction form
    175,083/256,413 = 256,413/x
  3. Step 3: Cross multiply
    175,083x = 256,413 × 256,413
  4. Step 4: Simplify right side
    175,083x = 65,747,626,569
  5. Step 5: Solve for x
    x = 65,747,626,569/175,083
  6. Step 6: Final answer
    x = 375,522.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.