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Finding the Third Proportional to 118,432 and 177,284

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Solution

The third proportional to 118,432 and 177,284 is: 265,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,432 : 177,284 = 177,284 : x
  2. Step 2: Convert to fraction form
    118,432/177,284 = 177,284/x
  3. Step 3: Cross multiply
    118,432x = 177,284 × 177,284
  4. Step 4: Simplify right side
    118,432x = 31,429,616,656
  5. Step 5: Solve for x
    x = 31,429,616,656/118,432
  6. Step 6: Final answer
    x = 265,381.12

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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.