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Finding the Third Proportional to 114,895.50 and 165,484.50

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Solution

The third proportional to 114,895.50 and 165,484.50 is: 238,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,895.50 : 165,484.50 = 165,484.50 : x
  2. Step 2: Convert to fraction form
    114,895.50/165,484.50 = 165,484.50/x
  3. Step 3: Cross multiply
    114,895.50x = 165,484.50 × 165,484.50
  4. Step 4: Simplify right side
    114,895.50x = 27,385,119,740.25
  5. Step 5: Solve for x
    x = 27,385,119,740.25/114,895.50
  6. Step 6: Final answer
    x = 238,348.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.