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Finding the Third Proportional to 118,246.50 and 256,587

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Solution

The third proportional to 118,246.50 and 256,587 is: 556,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,246.50 : 256,587 = 256,587 : x
  2. Step 2: Convert to fraction form
    118,246.50/256,587 = 256,587/x
  3. Step 3: Cross multiply
    118,246.50x = 256,587 × 256,587
  4. Step 4: Simplify right side
    118,246.50x = 65,836,888,569
  5. Step 5: Solve for x
    x = 65,836,888,569/118,246.50
  6. Step 6: Final answer
    x = 556,776.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.