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Finding the Third Proportional to 119,623.50 and 185,088.38

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Solution

The third proportional to 119,623.50 and 185,088.38 is: 286,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,623.50 : 185,088.38 = 185,088.38 : x
  2. Step 2: Convert to fraction form
    119,623.50/185,088.38 = 185,088.38/x
  3. Step 3: Cross multiply
    119,623.50x = 185,088.38 × 185,088.38
  4. Step 4: Simplify right side
    119,623.50x = 34,257,706,560.14
  5. Step 5: Solve for x
    x = 34,257,706,560.14/119,623.50
  6. Step 6: Final answer
    x = 286,379.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.