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Finding the Third Proportional to 160,988 and 255,291

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Solution

The third proportional to 160,988 and 255,291 is: 404,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,988 : 255,291 = 255,291 : x
  2. Step 2: Convert to fraction form
    160,988/255,291 = 255,291/x
  3. Step 3: Cross multiply
    160,988x = 255,291 × 255,291
  4. Step 4: Simplify right side
    160,988x = 65,173,494,681
  5. Step 5: Solve for x
    x = 65,173,494,681/160,988
  6. Step 6: Final answer
    x = 404,834.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.