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Finding the Third Proportional to 160,708 and 237,781

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Solution

The third proportional to 160,708 and 237,781 is: 351,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,708 : 237,781 = 237,781 : x
  2. Step 2: Convert to fraction form
    160,708/237,781 = 237,781/x
  3. Step 3: Cross multiply
    160,708x = 237,781 × 237,781
  4. Step 4: Simplify right side
    160,708x = 56,539,803,961
  5. Step 5: Solve for x
    x = 56,539,803,961/160,708
  6. Step 6: Final answer
    x = 351,816.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.