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Finding the Third Proportional to 145,641 and 196,770

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Solution

The third proportional to 145,641 and 196,770 is: 265,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,641 : 196,770 = 196,770 : x
  2. Step 2: Convert to fraction form
    145,641/196,770 = 196,770/x
  3. Step 3: Cross multiply
    145,641x = 196,770 × 196,770
  4. Step 4: Simplify right side
    145,641x = 38,718,432,900
  5. Step 5: Solve for x
    x = 38,718,432,900/145,641
  6. Step 6: Final answer
    x = 265,848.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.