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Finding the Third Proportional to 118,733.50 and 256,411

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Solution

The third proportional to 118,733.50 and 256,411 is: 553,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,733.50 : 256,411 = 256,411 : x
  2. Step 2: Convert to fraction form
    118,733.50/256,411 = 256,411/x
  3. Step 3: Cross multiply
    118,733.50x = 256,411 × 256,411
  4. Step 4: Simplify right side
    118,733.50x = 65,746,600,921
  5. Step 5: Solve for x
    x = 65,746,600,921/118,733.50
  6. Step 6: Final answer
    x = 553,732.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.