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Finding the Third Proportional to 118,962.75 and 257,527.50

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Solution

The third proportional to 118,962.75 and 257,527.50 is: 557,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,962.75 : 257,527.50 = 257,527.50 : x
  2. Step 2: Convert to fraction form
    118,962.75/257,527.50 = 257,527.50/x
  3. Step 3: Cross multiply
    118,962.75x = 257,527.50 × 257,527.50
  4. Step 4: Simplify right side
    118,962.75x = 66,320,413,256.25
  5. Step 5: Solve for x
    x = 66,320,413,256.25/118,962.75
  6. Step 6: Final answer
    x = 557,488.91

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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.