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Finding the Third Proportional to 159,663 and 245,487

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Solution

The third proportional to 159,663 and 245,487 is: 377,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,663 : 245,487 = 245,487 : x
  2. Step 2: Convert to fraction form
    159,663/245,487 = 245,487/x
  3. Step 3: Cross multiply
    159,663x = 245,487 × 245,487
  4. Step 4: Simplify right side
    159,663x = 60,263,867,169
  5. Step 5: Solve for x
    x = 60,263,867,169/159,663
  6. Step 6: Final answer
    x = 377,444.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.