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Finding the Third Proportional to 148,160 and 211,718

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Solution

The third proportional to 148,160 and 211,718 is: 302,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,160 : 211,718 = 211,718 : x
  2. Step 2: Convert to fraction form
    148,160/211,718 = 211,718/x
  3. Step 3: Cross multiply
    148,160x = 211,718 × 211,718
  4. Step 4: Simplify right side
    148,160x = 44,824,511,524
  5. Step 5: Solve for x
    x = 44,824,511,524/148,160
  6. Step 6: Final answer
    x = 302,541.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.