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Finding the Third Proportional to 154,167 and 312,587

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Solution

The third proportional to 154,167 and 312,587 is: 633,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,167 : 312,587 = 312,587 : x
  2. Step 2: Convert to fraction form
    154,167/312,587 = 312,587/x
  3. Step 3: Cross multiply
    154,167x = 312,587 × 312,587
  4. Step 4: Simplify right side
    154,167x = 97,710,632,569
  5. Step 5: Solve for x
    x = 97,710,632,569/154,167
  6. Step 6: Final answer
    x = 633,797.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.