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Finding the Third Proportional to 118,656 and 178,488

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Solution

The third proportional to 118,656 and 178,488 is: 268,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,656 : 178,488 = 178,488 : x
  2. Step 2: Convert to fraction form
    118,656/178,488 = 178,488/x
  3. Step 3: Cross multiply
    118,656x = 178,488 × 178,488
  4. Step 4: Simplify right side
    118,656x = 31,857,966,144
  5. Step 5: Solve for x
    x = 31,857,966,144/118,656
  6. Step 6: Final answer
    x = 268,490.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.