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Finding the Third Proportional to 118,304 and 183,288

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Solution

The third proportional to 118,304 and 183,288 is: 283,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,304 : 183,288 = 183,288 : x
  2. Step 2: Convert to fraction form
    118,304/183,288 = 183,288/x
  3. Step 3: Cross multiply
    118,304x = 183,288 × 183,288
  4. Step 4: Simplify right side
    118,304x = 33,594,490,944
  5. Step 5: Solve for x
    x = 33,594,490,944/118,304
  6. Step 6: Final answer
    x = 283,967.50

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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.