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Finding the Third Proportional to 118,520 and 183,468

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Solution

The third proportional to 118,520 and 183,468 is: 284,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,520 : 183,468 = 183,468 : x
  2. Step 2: Convert to fraction form
    118,520/183,468 = 183,468/x
  3. Step 3: Cross multiply
    118,520x = 183,468 × 183,468
  4. Step 4: Simplify right side
    118,520x = 33,660,507,024
  5. Step 5: Solve for x
    x = 33,660,507,024/118,520
  6. Step 6: Final answer
    x = 284,006.98

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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.