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Finding the Third Proportional to 107,178 and 229,117

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Solution

The third proportional to 107,178 and 229,117 is: 489,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,178 : 229,117 = 229,117 : x
  2. Step 2: Convert to fraction form
    107,178/229,117 = 229,117/x
  3. Step 3: Cross multiply
    107,178x = 229,117 × 229,117
  4. Step 4: Simplify right side
    107,178x = 52,494,599,689
  5. Step 5: Solve for x
    x = 52,494,599,689/107,178
  6. Step 6: Final answer
    x = 489,788.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.