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Finding the Third Proportional to 118,220 and 181,706

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Solution

The third proportional to 118,220 and 181,706 is: 279,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,220 : 181,706 = 181,706 : x
  2. Step 2: Convert to fraction form
    118,220/181,706 = 181,706/x
  3. Step 3: Cross multiply
    118,220x = 181,706 × 181,706
  4. Step 4: Simplify right side
    118,220x = 33,017,070,436
  5. Step 5: Solve for x
    x = 33,017,070,436/118,220
  6. Step 6: Final answer
    x = 279,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.